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Finding the Fourth Proportional to 157,870, 236,921.88 and 74,764.24

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Solution

The fourth proportional to 157,870, 236,921.88 and 74,764.24 is: 112,201.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,870 : 236,921.88 = 74,764.24 : x
  2. Step 2: Convert to fraction form
    157,870/236,921.88 = 74,764.24/x
  3. Step 3: Cross multiply
    157,870x = 236,921.88 × 74,764.24
  4. Step 4: Simplify right side
    157,870x = 17,713,284,297.57
  5. Step 5: Solve for x
    x = 17,713,284,297.57/157,870
  6. Step 6: Final answer
    x = 112,201.71

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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.