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Finding the Fourth Proportional to 100,104.96, 138,125.92 and 61,897.92

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Solution

The fourth proportional to 100,104.96, 138,125.92 and 61,897.92 is: 85,407.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,104.96 : 138,125.92 = 61,897.92 : x
  2. Step 2: Convert to fraction form
    100,104.96/138,125.92 = 61,897.92/x
  3. Step 3: Cross multiply
    100,104.96x = 138,125.92 × 61,897.92
  4. Step 4: Simplify right side
    100,104.96x = 8,549,707,146.09
  5. Step 5: Solve for x
    x = 8,549,707,146.09/100,104.96
  6. Step 6: Final answer
    x = 85,407.43

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1.5x scale

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.