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Finding the Fourth Proportional to 206,008,691.04, 308,965,097.28 and 76,677,209.28

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Solution

The fourth proportional to 206,008,691.04, 308,965,097.28 and 76,677,209.28 is: 114,997,970.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,008,691.04 : 308,965,097.28 = 76,677,209.28 : x
  2. Step 2: Convert to fraction form
    206,008,691.04/308,965,097.28 = 76,677,209.28/x
  3. Step 3: Cross multiply
    206,008,691.04x = 308,965,097.28 × 76,677,209.28
  4. Step 4: Simplify right side
    206,008,691.04x = 23,690,581,424,354,116
  5. Step 5: Solve for x
    x = 23,690,581,424,354,116/206,008,691.04
  6. Step 6: Final answer
    x = 114,997,970.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.