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Finding the Fourth Proportional to 71,209.66, 106,721.02 and 52,401.64

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Solution

The fourth proportional to 71,209.66, 106,721.02 and 52,401.64 is: 78,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,209.66 : 106,721.02 = 52,401.64 : x
  2. Step 2: Convert to fraction form
    71,209.66/106,721.02 = 52,401.64/x
  3. Step 3: Cross multiply
    71,209.66x = 106,721.02 × 52,401.64
  4. Step 4: Simplify right side
    71,209.66x = 5,592,356,470.47
  5. Step 5: Solve for x
    x = 5,592,356,470.47/71,209.66
  6. Step 6: Final answer
    x = 78,533.68

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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.