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Finding the Fourth Proportional to 129,192.72, 178,290 and 78,214.80

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Solution

The fourth proportional to 129,192.72, 178,290 and 78,214.80 is: 107,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,192.72 : 178,290 = 78,214.80 : x
  2. Step 2: Convert to fraction form
    129,192.72/178,290 = 78,214.80/x
  3. Step 3: Cross multiply
    129,192.72x = 178,290 × 78,214.80
  4. Step 4: Simplify right side
    129,192.72x = 13,944,916,692
  5. Step 5: Solve for x
    x = 13,944,916,692/129,192.72
  6. Step 6: Final answer
    x = 107,938.87

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1.5x scale

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.