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Finding the Fourth Proportional to 83,431.88, 125,070.06 and 27,989

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Solution

The fourth proportional to 83,431.88, 125,070.06 and 27,989 is: 41,957.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,431.88 : 125,070.06 = 27,989 : x
  2. Step 2: Convert to fraction form
    83,431.88/125,070.06 = 27,989/x
  3. Step 3: Cross multiply
    83,431.88x = 125,070.06 × 27,989
  4. Step 4: Simplify right side
    83,431.88x = 3,500,585,909.34
  5. Step 5: Solve for x
    x = 3,500,585,909.34/83,431.88
  6. Step 6: Final answer
    x = 41,957.41

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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.