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Finding the Fourth Proportional to 103,178.74, 154,781.88 and 40,834.66

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Solution

The fourth proportional to 103,178.74, 154,781.88 and 40,834.66 is: 61,257.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,178.74 : 154,781.88 = 40,834.66 : x
  2. Step 2: Convert to fraction form
    103,178.74/154,781.88 = 40,834.66/x
  3. Step 3: Cross multiply
    103,178.74x = 154,781.88 × 40,834.66
  4. Step 4: Simplify right side
    103,178.74x = 6,320,465,443.96
  5. Step 5: Solve for x
    x = 6,320,465,443.96/103,178.74
  6. Step 6: Final answer
    x = 61,257.44

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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.