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Finding the Fourth Proportional to 71,749.80, 107,640.90 and 42,152.40

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Solution

The fourth proportional to 71,749.80, 107,640.90 and 42,152.40 is: 63,238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,749.80 : 107,640.90 = 42,152.40 : x
  2. Step 2: Convert to fraction form
    71,749.80/107,640.90 = 42,152.40/x
  3. Step 3: Cross multiply
    71,749.80x = 107,640.90 × 42,152.40
  4. Step 4: Simplify right side
    71,749.80x = 4,537,322,273.16
  5. Step 5: Solve for x
    x = 4,537,322,273.16/71,749.80
  6. Step 6: Final answer
    x = 63,238.12

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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.