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Finding the Fourth Proportional to 157,144.92, 216,871.56 and 89,173.56

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Solution

The fourth proportional to 157,144.92, 216,871.56 and 89,173.56 is: 123,066.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,144.92 : 216,871.56 = 89,173.56 : x
  2. Step 2: Convert to fraction form
    157,144.92/216,871.56 = 89,173.56/x
  3. Step 3: Cross multiply
    157,144.92x = 216,871.56 × 89,173.56
  4. Step 4: Simplify right side
    157,144.92x = 19,339,209,067.95
  5. Step 5: Solve for x
    x = 19,339,209,067.95/157,144.92
  6. Step 6: Final answer
    x = 123,066.08

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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.