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Finding the Fourth Proportional to 129,363.84, 178,520.40 and 72,775.20

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Solution

The fourth proportional to 129,363.84, 178,520.40 and 72,775.20 is: 100,428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,363.84 : 178,520.40 = 72,775.20 : x
  2. Step 2: Convert to fraction form
    129,363.84/178,520.40 = 72,775.20/x
  3. Step 3: Cross multiply
    129,363.84x = 178,520.40 × 72,775.20
  4. Step 4: Simplify right side
    129,363.84x = 12,991,857,814.08
  5. Step 5: Solve for x
    x = 12,991,857,814.08/129,363.84
  6. Step 6: Final answer
    x = 100,428.82

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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.