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Finding the Fourth Proportional to 129,038, 193,557 and 41,486

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Solution

The fourth proportional to 129,038, 193,557 and 41,486 is: 62,229

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,038 : 193,557 = 41,486 : x
  2. Step 2: Convert to fraction form
    129,038/193,557 = 41,486/x
  3. Step 3: Cross multiply
    129,038x = 193,557 × 41,486
  4. Step 4: Simplify right side
    129,038x = 8,029,905,702
  5. Step 5: Solve for x
    x = 8,029,905,702/129,038
  6. Step 6: Final answer
    x = 62,229

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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.