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Finding the Fourth Proportional to 65,101.62, 89,841.92 and 36,420.33

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Solution

The fourth proportional to 65,101.62, 89,841.92 and 36,420.33 is: 50,260.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,101.62 : 89,841.92 = 36,420.33 : x
  2. Step 2: Convert to fraction form
    65,101.62/89,841.92 = 36,420.33/x
  3. Step 3: Cross multiply
    65,101.62x = 89,841.92 × 36,420.33
  4. Step 4: Simplify right side
    65,101.62x = 3,272,072,192.13
  5. Step 5: Solve for x
    x = 3,272,072,192.13/65,101.62
  6. Step 6: Final answer
    x = 50,260.99

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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.