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Finding the Fourth Proportional to 113,775.28, 156,964.98 and 71,318.32

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Solution

The fourth proportional to 113,775.28, 156,964.98 and 71,318.32 is: 98,391.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,775.28 : 156,964.98 = 71,318.32 : x
  2. Step 2: Convert to fraction form
    113,775.28/156,964.98 = 71,318.32/x
  3. Step 3: Cross multiply
    113,775.28x = 156,964.98 × 71,318.32
  4. Step 4: Simplify right side
    113,775.28x = 11,194,478,672.43
  5. Step 5: Solve for x
    x = 11,194,478,672.43/113,775.28
  6. Step 6: Final answer
    x = 98,391.13

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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.