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Finding the Fourth Proportional to 103,423.90, 155,135.85 and 77,179.90

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Solution

The fourth proportional to 103,423.90, 155,135.85 and 77,179.90 is: 115,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,423.90 : 155,135.85 = 77,179.90 : x
  2. Step 2: Convert to fraction form
    103,423.90/155,135.85 = 77,179.90/x
  3. Step 3: Cross multiply
    103,423.90x = 155,135.85 × 77,179.90
  4. Step 4: Simplify right side
    103,423.90x = 11,973,369,389.42
  5. Step 5: Solve for x
    x = 11,973,369,389.42/103,423.90
  6. Step 6: Final answer
    x = 115,769.85

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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.