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Finding the Fourth Proportional to 99,309.71, 137,031.55 and 65,331.93

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Solution

The fourth proportional to 99,309.71, 137,031.55 and 65,331.93 is: 90,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,309.71 : 137,031.55 = 65,331.93 : x
  2. Step 2: Convert to fraction form
    99,309.71/137,031.55 = 65,331.93/x
  3. Step 3: Cross multiply
    99,309.71x = 137,031.55 × 65,331.93
  4. Step 4: Simplify right side
    99,309.71x = 8,952,535,982.93
  5. Step 5: Solve for x
    x = 8,952,535,982.93/99,309.71
  6. Step 6: Final answer
    x = 90,147.64

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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.