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Finding the Fourth Proportional to 100,613.22, 138,836.64 and 60,319.50

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Solution

The fourth proportional to 100,613.22, 138,836.64 and 60,319.50 is: 83,235.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,613.22 : 138,836.64 = 60,319.50 : x
  2. Step 2: Convert to fraction form
    100,613.22/138,836.64 = 60,319.50/x
  3. Step 3: Cross multiply
    100,613.22x = 138,836.64 × 60,319.50
  4. Step 4: Simplify right side
    100,613.22x = 8,374,556,706.48
  5. Step 5: Solve for x
    x = 8,374,556,706.48/100,613.22
  6. Step 6: Final answer
    x = 83,235.15

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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.