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Finding the Fourth Proportional to 157,959.12, 217,997.76 and 89,961.12

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Solution

The fourth proportional to 157,959.12, 217,997.76 and 89,961.12 is: 124,154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,959.12 : 217,997.76 = 89,961.12 : x
  2. Step 2: Convert to fraction form
    157,959.12/217,997.76 = 89,961.12/x
  3. Step 3: Cross multiply
    157,959.12x = 217,997.76 × 89,961.12
  4. Step 4: Simplify right side
    157,959.12x = 19,611,322,647.09
  5. Step 5: Solve for x
    x = 19,611,322,647.09/157,959.12
  6. Step 6: Final answer
    x = 124,154.42

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1.5x scale

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.