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Finding the Fourth Proportional to 157,121.30, 216,811.40 and 89,141.78

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Solution

The fourth proportional to 157,121.30, 216,811.40 and 89,141.78 is: 123,006.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,121.30 : 216,811.40 = 89,141.78 : x
  2. Step 2: Convert to fraction form
    157,121.30/216,811.40 = 89,141.78/x
  3. Step 3: Cross multiply
    157,121.30x = 216,811.40 × 89,141.78
  4. Step 4: Simplify right side
    157,121.30x = 19,326,954,120.29
  5. Step 5: Solve for x
    x = 19,326,954,120.29/157,121.30
  6. Step 6: Final answer
    x = 123,006.58

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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.