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Finding the Fourth Proportional to 157,851.88, 217,838.82 and 90,788.20

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Solution

The fourth proportional to 157,851.88, 217,838.82 and 90,788.20 is: 125,289.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,851.88 : 217,838.82 = 90,788.20 : x
  2. Step 2: Convert to fraction form
    157,851.88/217,838.82 = 90,788.20/x
  3. Step 3: Cross multiply
    157,851.88x = 217,838.82 × 90,788.20
  4. Step 4: Simplify right side
    157,851.88x = 19,777,194,357.92
  5. Step 5: Solve for x
    x = 19,777,194,357.92/157,851.88
  6. Step 6: Final answer
    x = 125,289.57

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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.