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Finding the Fourth Proportional to 42,140.70, 63,178.65 and 23,672.70

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Solution

The fourth proportional to 42,140.70, 63,178.65 and 23,672.70 is: 35,490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,140.70 : 63,178.65 = 23,672.70 : x
  2. Step 2: Convert to fraction form
    42,140.70/63,178.65 = 23,672.70/x
  3. Step 3: Cross multiply
    42,140.70x = 63,178.65 × 23,672.70
  4. Step 4: Simplify right side
    42,140.70x = 1,495,609,227.86
  5. Step 5: Solve for x
    x = 1,495,609,227.86/42,140.70
  6. Step 6: Final answer
    x = 35,490.85

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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.