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Finding the Fourth Proportional to 83,129.40, 124,711.62 and 26,965.14

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Solution

The fourth proportional to 83,129.40, 124,711.62 and 26,965.14 is: 40,453.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,129.40 : 124,711.62 = 26,965.14 : x
  2. Step 2: Convert to fraction form
    83,129.40/124,711.62 = 26,965.14/x
  3. Step 3: Cross multiply
    83,129.40x = 124,711.62 × 26,965.14
  4. Step 4: Simplify right side
    83,129.40x = 3,362,866,292.93
  5. Step 5: Solve for x
    x = 3,362,866,292.93/83,129.40
  6. Step 6: Final answer
    x = 40,453.39

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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.