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Finding the Fourth Proportional to 97,873.71, 135,061.20 and 55,432.55

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Solution

The fourth proportional to 97,873.71, 135,061.20 and 55,432.55 is: 76,494.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,873.71 : 135,061.20 = 55,432.55 : x
  2. Step 2: Convert to fraction form
    97,873.71/135,061.20 = 55,432.55/x
  3. Step 3: Cross multiply
    97,873.71x = 135,061.20 × 55,432.55
  4. Step 4: Simplify right side
    97,873.71x = 7,486,786,046.75
  5. Step 5: Solve for x
    x = 7,486,786,046.75/97,873.71
  6. Step 6: Final answer
    x = 76,494.35

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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.