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Finding the Fourth Proportional to 157,812, 217,787.04 and 90,744

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Solution

The fourth proportional to 157,812, 217,787.04 and 90,744 is: 125,230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,812 : 217,787.04 = 90,744 : x
  2. Step 2: Convert to fraction form
    157,812/217,787.04 = 90,744/x
  3. Step 3: Cross multiply
    157,812x = 217,787.04 × 90,744
  4. Step 4: Simplify right side
    157,812x = 19,762,867,157.76
  5. Step 5: Solve for x
    x = 19,762,867,157.76/157,812
  6. Step 6: Final answer
    x = 125,230.45

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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.