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Finding the Fourth Proportional to 61,138.70, 91,708.05 and 42,111.80

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Solution

The fourth proportional to 61,138.70, 91,708.05 and 42,111.80 is: 63,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,138.70 : 91,708.05 = 42,111.80 : x
  2. Step 2: Convert to fraction form
    61,138.70/91,708.05 = 42,111.80/x
  3. Step 3: Cross multiply
    61,138.70x = 91,708.05 × 42,111.80
  4. Step 4: Simplify right side
    61,138.70x = 3,861,991,059.99
  5. Step 5: Solve for x
    x = 3,861,991,059.99/61,138.70
  6. Step 6: Final answer
    x = 63,167.70

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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.