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Finding the Fourth Proportional to 71,420, 107,196.16 and 36,385.76

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Solution

The fourth proportional to 71,420, 107,196.16 and 36,385.76 is: 54,612.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,420 : 107,196.16 = 36,385.76 : x
  2. Step 2: Convert to fraction form
    71,420/107,196.16 = 36,385.76/x
  3. Step 3: Cross multiply
    71,420x = 107,196.16 × 36,385.76
  4. Step 4: Simplify right side
    71,420x = 3,900,413,750.68
  5. Step 5: Solve for x
    x = 3,900,413,750.68/71,420
  6. Step 6: Final answer
    x = 54,612.35

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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.