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Finding the Fourth Proportional to 75,306.47, 112,781.59 and 65,391.86

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Solution

The fourth proportional to 75,306.47, 112,781.59 and 65,391.86 is: 97,933.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,306.47 : 112,781.59 = 65,391.86 : x
  2. Step 2: Convert to fraction form
    75,306.47/112,781.59 = 65,391.86/x
  3. Step 3: Cross multiply
    75,306.47x = 112,781.59 × 65,391.86
  4. Step 4: Simplify right side
    75,306.47x = 7,374,998,062.33
  5. Step 5: Solve for x
    x = 7,374,998,062.33/75,306.47
  6. Step 6: Final answer
    x = 97,933.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.