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Finding the Fourth Proportional to 102,493.80, 141,387.66 and 83,394.90

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Solution

The fourth proportional to 102,493.80, 141,387.66 and 83,394.90 is: 115,041.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,493.80 : 141,387.66 = 83,394.90 : x
  2. Step 2: Convert to fraction form
    102,493.80/141,387.66 = 83,394.90/x
  3. Step 3: Cross multiply
    102,493.80x = 141,387.66 × 83,394.90
  4. Step 4: Simplify right side
    102,493.80x = 11,791,009,766.93
  5. Step 5: Solve for x
    x = 11,791,009,766.93/102,493.80
  6. Step 6: Final answer
    x = 115,041.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.