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Finding the Fourth Proportional to 157,580.40, 217,452.28 and 89,588

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Solution

The fourth proportional to 157,580.40, 217,452.28 and 89,588 is: 123,626.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,580.40 : 217,452.28 = 89,588 : x
  2. Step 2: Convert to fraction form
    157,580.40/217,452.28 = 89,588/x
  3. Step 3: Cross multiply
    157,580.40x = 217,452.28 × 89,588
  4. Step 4: Simplify right side
    157,580.40x = 19,481,114,860.64
  5. Step 5: Solve for x
    x = 19,481,114,860.64/157,580.40
  6. Step 6: Final answer
    x = 123,626.51

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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.