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Finding the Fourth Proportional to 103,729.10, 155,204.85 and 68,737.10

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Solution

The fourth proportional to 103,729.10, 155,204.85 and 68,737.10 is: 102,848.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,729.10 : 155,204.85 = 68,737.10 : x
  2. Step 2: Convert to fraction form
    103,729.10/155,204.85 = 68,737.10/x
  3. Step 3: Cross multiply
    103,729.10x = 155,204.85 × 68,737.10
  4. Step 4: Simplify right side
    103,729.10x = 10,668,331,294.94
  5. Step 5: Solve for x
    x = 10,668,331,294.94/103,729.10
  6. Step 6: Final answer
    x = 102,848.01

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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.