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Finding the Fourth Proportional to 208,799.19, 288,142.88 and 113,305.88

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Solution

The fourth proportional to 208,799.19, 288,142.88 and 113,305.88 is: 156,362.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,799.19 : 288,142.88 = 113,305.88 : x
  2. Step 2: Convert to fraction form
    208,799.19/288,142.88 = 113,305.88/x
  3. Step 3: Cross multiply
    208,799.19x = 288,142.88 × 113,305.88
  4. Step 4: Simplify right side
    208,799.19x = 32,648,283,056.64
  5. Step 5: Solve for x
    x = 32,648,283,056.64/208,799.19
  6. Step 6: Final answer
    x = 156,362.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.