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Finding the Fourth Proportional to 135,717.59, 187,281.82 and 81,970.85

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Solution

The fourth proportional to 135,717.59, 187,281.82 and 81,970.85 is: 113,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,717.59 : 187,281.82 = 81,970.85 : x
  2. Step 2: Convert to fraction form
    135,717.59/187,281.82 = 81,970.85/x
  3. Step 3: Cross multiply
    135,717.59x = 187,281.82 × 81,970.85
  4. Step 4: Simplify right side
    135,717.59x = 15,351,650,545.62
  5. Step 5: Solve for x
    x = 15,351,650,545.62/135,717.59
  6. Step 6: Final answer
    x = 113,114.67

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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.