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Finding the Fourth Proportional to 157,655.98, 217,195.59 and 109,822.78

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Solution

The fourth proportional to 157,655.98, 217,195.59 and 109,822.78 is: 151,297.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,655.98 : 217,195.59 = 109,822.78 : x
  2. Step 2: Convert to fraction form
    157,655.98/217,195.59 = 109,822.78/x
  3. Step 3: Cross multiply
    157,655.98x = 217,195.59 × 109,822.78
  4. Step 4: Simplify right side
    157,655.98x = 23,853,023,497.54
  5. Step 5: Solve for x
    x = 23,853,023,497.54/157,655.98
  6. Step 6: Final answer
    x = 151,297.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.