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Finding the Fourth Proportional to 100,397.76, 138,538.64 and 60,110.48

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Solution

The fourth proportional to 100,397.76, 138,538.64 and 60,110.48 is: 82,946.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,397.76 : 138,538.64 = 60,110.48 : x
  2. Step 2: Convert to fraction form
    100,397.76/138,538.64 = 60,110.48/x
  3. Step 3: Cross multiply
    100,397.76x = 138,538.64 × 60,110.48
  4. Step 4: Simplify right side
    100,397.76x = 8,327,623,155.70
  5. Step 5: Solve for x
    x = 8,327,623,155.70/100,397.76
  6. Step 6: Final answer
    x = 82,946.30

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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.