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Finding the Fourth Proportional to 90,707.76, 135,898.47 and 85,370.85

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Solution

The fourth proportional to 90,707.76, 135,898.47 and 85,370.85 is: 127,902.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,707.76 : 135,898.47 = 85,370.85 : x
  2. Step 2: Convert to fraction form
    90,707.76/135,898.47 = 85,370.85/x
  3. Step 3: Cross multiply
    90,707.76x = 135,898.47 × 85,370.85
  4. Step 4: Simplify right side
    90,707.76x = 11,601,767,897.60
  5. Step 5: Solve for x
    x = 11,601,767,897.60/90,707.76
  6. Step 6: Final answer
    x = 127,902.71

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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.