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Finding the Fourth Proportional to 381,876.10, 572,814.15 and 101,421.70

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Solution

The fourth proportional to 381,876.10, 572,814.15 and 101,421.70 is: 152,132.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,876.10 : 572,814.15 = 101,421.70 : x
  2. Step 2: Convert to fraction form
    381,876.10/572,814.15 = 101,421.70/x
  3. Step 3: Cross multiply
    381,876.10x = 572,814.15 × 101,421.70
  4. Step 4: Simplify right side
    381,876.10x = 58,095,784,877.06
  5. Step 5: Solve for x
    x = 58,095,784,877.06/381,876.10
  6. Step 6: Final answer
    x = 152,132.55

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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.