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Finding the Fourth Proportional to 157,822, 217,800.84 and 90,754

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Solution

The fourth proportional to 157,822, 217,800.84 and 90,754 is: 125,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,822 : 217,800.84 = 90,754 : x
  2. Step 2: Convert to fraction form
    157,822/217,800.84 = 90,754/x
  3. Step 3: Cross multiply
    157,822x = 217,800.84 × 90,754
  4. Step 4: Simplify right side
    157,822x = 19,766,297,433.36
  5. Step 5: Solve for x
    x = 19,766,297,433.36/157,822
  6. Step 6: Final answer
    x = 125,244.25

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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.