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Finding the Fourth Proportional to 157,874, 236,927.88 and 74,768.24

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Solution

The fourth proportional to 157,874, 236,927.88 and 74,768.24 is: 112,207.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,874 : 236,927.88 = 74,768.24 : x
  2. Step 2: Convert to fraction form
    157,874/236,927.88 = 74,768.24/x
  3. Step 3: Cross multiply
    157,874x = 236,927.88 × 74,768.24
  4. Step 4: Simplify right side
    157,874x = 17,714,680,594.53
  5. Step 5: Solve for x
    x = 17,714,680,594.53/157,874
  6. Step 6: Final answer
    x = 112,207.71

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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.