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Finding the Fourth Proportional to 121,380.71, 182,092.91 and 37,139.31

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Solution

The fourth proportional to 121,380.71, 182,092.91 and 37,139.31 is: 55,715.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,380.71 : 182,092.91 = 37,139.31 : x
  2. Step 2: Convert to fraction form
    121,380.71/182,092.91 = 37,139.31/x
  3. Step 3: Cross multiply
    121,380.71x = 182,092.91 × 37,139.31
  4. Step 4: Simplify right side
    121,380.71x = 6,762,804,847.60
  5. Step 5: Solve for x
    x = 6,762,804,847.60/121,380.71
  6. Step 6: Final answer
    x = 55,715.65

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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.