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Finding the Fourth Proportional to 103,738.90, 155,349.15 and 83,002.90

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Solution

The fourth proportional to 103,738.90, 155,349.15 and 83,002.90 is: 124,296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,738.90 : 155,349.15 = 83,002.90 : x
  2. Step 2: Convert to fraction form
    103,738.90/155,349.15 = 83,002.90/x
  3. Step 3: Cross multiply
    103,738.90x = 155,349.15 × 83,002.90
  4. Step 4: Simplify right side
    103,738.90x = 12,894,429,962.54
  5. Step 5: Solve for x
    x = 12,894,429,962.54/103,738.90
  6. Step 6: Final answer
    x = 124,296.96

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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.