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Finding the Fourth Proportional to 129,137.80, 178,224.62 and 78,178.62

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Solution

The fourth proportional to 129,137.80, 178,224.62 and 78,178.62 is: 107,895.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,137.80 : 178,224.62 = 78,178.62 : x
  2. Step 2: Convert to fraction form
    129,137.80/178,224.62 = 78,178.62/x
  3. Step 3: Cross multiply
    129,137.80x = 178,224.62 × 78,178.62
  4. Step 4: Simplify right side
    129,137.80x = 13,933,354,841.62
  5. Step 5: Solve for x
    x = 13,933,354,841.62/129,137.80
  6. Step 6: Final answer
    x = 107,895.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.