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Finding the Fourth Proportional to 157,381.76, 217,180 and 89,398.52

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Solution

The fourth proportional to 157,381.76, 217,180 and 89,398.52 is: 123,366.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,381.76 : 217,180 = 89,398.52 : x
  2. Step 2: Convert to fraction form
    157,381.76/217,180 = 89,398.52/x
  3. Step 3: Cross multiply
    157,381.76x = 217,180 × 89,398.52
  4. Step 4: Simplify right side
    157,381.76x = 19,415,570,573.60
  5. Step 5: Solve for x
    x = 19,415,570,573.60/157,381.76
  6. Step 6: Final answer
    x = 123,366.08

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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.