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Finding the Fourth Proportional to 129,137, 178,208.40 and 71,776.04

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Solution

The fourth proportional to 129,137, 178,208.40 and 71,776.04 is: 99,050.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,137 : 178,208.40 = 71,776.04 : x
  2. Step 2: Convert to fraction form
    129,137/178,208.40 = 71,776.04/x
  3. Step 3: Cross multiply
    129,137x = 178,208.40 × 71,776.04
  4. Step 4: Simplify right side
    129,137x = 12,791,093,246.74
  5. Step 5: Solve for x
    x = 12,791,093,246.74/129,137
  6. Step 6: Final answer
    x = 99,050.57

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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.