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Finding the Fourth Proportional to 83,408.36, 124,964.90 and 69,285.80

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Solution

The fourth proportional to 83,408.36, 124,964.90 and 69,285.80 is: 103,806.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,408.36 : 124,964.90 = 69,285.80 : x
  2. Step 2: Convert to fraction form
    83,408.36/124,964.90 = 69,285.80/x
  3. Step 3: Cross multiply
    83,408.36x = 124,964.90 × 69,285.80
  4. Step 4: Simplify right side
    83,408.36x = 8,658,293,068.42
  5. Step 5: Solve for x
    x = 8,658,293,068.42/83,408.36
  6. Step 6: Final answer
    x = 103,806.06

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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.