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Finding the Fourth Proportional to 157,367.72, 236,121.35 and 82,470.06

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Solution

The fourth proportional to 157,367.72, 236,121.35 and 82,470.06 is: 123,741.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,367.72 : 236,121.35 = 82,470.06 : x
  2. Step 2: Convert to fraction form
    157,367.72/236,121.35 = 82,470.06/x
  3. Step 3: Cross multiply
    157,367.72x = 236,121.35 × 82,470.06
  4. Step 4: Simplify right side
    157,367.72x = 19,472,941,901.78
  5. Step 5: Solve for x
    x = 19,472,941,901.78/157,367.72
  6. Step 6: Final answer
    x = 123,741.65

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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.