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Finding the Fourth Proportional to 191,496, 287,375.24 and 66,837

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Solution

The fourth proportional to 191,496, 287,375.24 and 66,837 is: 100,301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,496 : 287,375.24 = 66,837 : x
  2. Step 2: Convert to fraction form
    191,496/287,375.24 = 66,837/x
  3. Step 3: Cross multiply
    191,496x = 287,375.24 × 66,837
  4. Step 4: Simplify right side
    191,496x = 19,207,299,082.97
  5. Step 5: Solve for x
    x = 19,207,299,082.97/191,496
  6. Step 6: Final answer
    x = 100,301.31

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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.