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Finding the Fourth Proportional to 157,565.22, 217,418.49 and 90,497.22

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Solution

The fourth proportional to 157,565.22, 217,418.49 and 90,497.22 is: 124,873.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,565.22 : 217,418.49 = 90,497.22 : x
  2. Step 2: Convert to fraction form
    157,565.22/217,418.49 = 90,497.22/x
  3. Step 3: Cross multiply
    157,565.22x = 217,418.49 × 90,497.22
  4. Step 4: Simplify right side
    157,565.22x = 19,675,768,921.60
  5. Step 5: Solve for x
    x = 19,675,768,921.60/157,565.22
  6. Step 6: Final answer
    x = 124,873.81

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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.