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Finding the Fourth Proportional to 88,139.58, 132,261.90 and 31,984.07

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Solution

The fourth proportional to 88,139.58, 132,261.90 and 31,984.07 is: 47,995.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,139.58 : 132,261.90 = 31,984.07 : x
  2. Step 2: Convert to fraction form
    88,139.58/132,261.90 = 31,984.07/x
  3. Step 3: Cross multiply
    88,139.58x = 132,261.90 × 31,984.07
  4. Step 4: Simplify right side
    88,139.58x = 4,230,273,046.70
  5. Step 5: Solve for x
    x = 4,230,273,046.70/88,139.58
  6. Step 6: Final answer
    x = 47,995.16

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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.