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Finding the Fourth Proportional to 157,812.22, 217,772.04 and 89,845.75

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Solution

The fourth proportional to 157,812.22, 217,772.04 and 89,845.75 is: 123,982.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,812.22 : 217,772.04 = 89,845.75 : x
  2. Step 2: Convert to fraction form
    157,812.22/217,772.04 = 89,845.75/x
  3. Step 3: Cross multiply
    157,812.22x = 217,772.04 × 89,845.75
  4. Step 4: Simplify right side
    157,812.22x = 19,565,892,262.83
  5. Step 5: Solve for x
    x = 19,565,892,262.83/157,812.22
  6. Step 6: Final answer
    x = 123,982.11

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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.