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Finding the Fourth Proportional to 115,154.66, 172,738.17 and 36,275.06

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Solution

The fourth proportional to 115,154.66, 172,738.17 and 36,275.06 is: 54,414.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,154.66 : 172,738.17 = 36,275.06 : x
  2. Step 2: Convert to fraction form
    115,154.66/172,738.17 = 36,275.06/x
  3. Step 3: Cross multiply
    115,154.66x = 172,738.17 × 36,275.06
  4. Step 4: Simplify right side
    115,154.66x = 6,266,086,617.35
  5. Step 5: Solve for x
    x = 6,266,086,617.35/115,154.66
  6. Step 6: Final answer
    x = 54,414.53

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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.