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Finding the Fourth Proportional to 191,464.29, 287,327.66 and 66,805.29

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Solution

The fourth proportional to 191,464.29, 287,327.66 and 66,805.29 is: 100,253.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,464.29 : 287,327.66 = 66,805.29 : x
  2. Step 2: Convert to fraction form
    191,464.29/287,327.66 = 66,805.29/x
  3. Step 3: Cross multiply
    191,464.29x = 287,327.66 × 66,805.29
  4. Step 4: Simplify right side
    191,464.29x = 19,195,007,317.30
  5. Step 5: Solve for x
    x = 19,195,007,317.30/191,464.29
  6. Step 6: Final answer
    x = 100,253.72

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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.