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Finding the Fourth Proportional to 145,175.29, 217,726.48 and 51,659.17

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Solution

The fourth proportional to 145,175.29, 217,726.48 and 51,659.17 is: 77,475.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,175.29 : 217,726.48 = 51,659.17 : x
  2. Step 2: Convert to fraction form
    145,175.29/217,726.48 = 51,659.17/x
  3. Step 3: Cross multiply
    145,175.29x = 217,726.48 × 51,659.17
  4. Step 4: Simplify right side
    145,175.29x = 11,247,568,764.08
  5. Step 5: Solve for x
    x = 11,247,568,764.08/145,175.29
  6. Step 6: Final answer
    x = 77,475.78

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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.