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Finding the Fourth Proportional to 71,256.68, 98,318.90 and 42,961.76

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Solution

The fourth proportional to 71,256.68, 98,318.90 and 42,961.76 is: 59,277.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,256.68 : 98,318.90 = 42,961.76 : x
  2. Step 2: Convert to fraction form
    71,256.68/98,318.90 = 42,961.76/x
  3. Step 3: Cross multiply
    71,256.68x = 98,318.90 × 42,961.76
  4. Step 4: Simplify right side
    71,256.68x = 4,223,952,278.86
  5. Step 5: Solve for x
    x = 4,223,952,278.86/71,256.68
  6. Step 6: Final answer
    x = 59,277.99

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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.