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Finding the Fourth Proportional to 83,119.50, 124,863.80 and 51,552.90

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Solution

The fourth proportional to 83,119.50, 124,863.80 and 51,552.90 is: 77,443.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,119.50 : 124,863.80 = 51,552.90 : x
  2. Step 2: Convert to fraction form
    83,119.50/124,863.80 = 51,552.90/x
  3. Step 3: Cross multiply
    83,119.50x = 124,863.80 × 51,552.90
  4. Step 4: Simplify right side
    83,119.50x = 6,437,091,307.18
  5. Step 5: Solve for x
    x = 6,437,091,307.18/83,119.50
  6. Step 6: Final answer
    x = 77,443.81

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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.