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Finding the Fourth Proportional to 205,165.64, 308,289.68 and 110,465.84

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Solution

The fourth proportional to 205,165.64, 308,289.68 and 110,465.84 is: 165,990.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,165.64 : 308,289.68 = 110,465.84 : x
  2. Step 2: Convert to fraction form
    205,165.64/308,289.68 = 110,465.84/x
  3. Step 3: Cross multiply
    205,165.64x = 308,289.68 × 110,465.84
  4. Step 4: Simplify right side
    205,165.64x = 34,055,479,097.17
  5. Step 5: Solve for x
    x = 34,055,479,097.17/205,165.64
  6. Step 6: Final answer
    x = 165,990.17

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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.