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Finding the Fourth Proportional to 42,734.60, 64,101.90 and 42,151.40

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Solution

The fourth proportional to 42,734.60, 64,101.90 and 42,151.40 is: 63,227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,734.60 : 64,101.90 = 42,151.40 : x
  2. Step 2: Convert to fraction form
    42,734.60/64,101.90 = 42,151.40/x
  3. Step 3: Cross multiply
    42,734.60x = 64,101.90 × 42,151.40
  4. Step 4: Simplify right side
    42,734.60x = 2,701,984,827.66
  5. Step 5: Solve for x
    x = 2,701,984,827.66/42,734.60
  6. Step 6: Final answer
    x = 63,227.10

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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.