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Finding the Fourth Proportional to 157,138.62, 216,855.90 and 85,523.28

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Solution

The fourth proportional to 157,138.62, 216,855.90 and 85,523.28 is: 118,024.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,138.62 : 216,855.90 = 85,523.28 : x
  2. Step 2: Convert to fraction form
    157,138.62/216,855.90 = 85,523.28/x
  3. Step 3: Cross multiply
    157,138.62x = 216,855.90 × 85,523.28
  4. Step 4: Simplify right side
    157,138.62x = 18,546,227,042.14
  5. Step 5: Solve for x
    x = 18,546,227,042.14/157,138.62
  6. Step 6: Final answer
    x = 118,024.63

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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.