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Finding the Fourth Proportional to 157,232.71, 216,978.33 and 85,611.43

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Solution

The fourth proportional to 157,232.71, 216,978.33 and 85,611.43 is: 118,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,232.71 : 216,978.33 = 85,611.43 : x
  2. Step 2: Convert to fraction form
    157,232.71/216,978.33 = 85,611.43/x
  3. Step 3: Cross multiply
    157,232.71x = 216,978.33 × 85,611.43
  4. Step 4: Simplify right side
    157,232.71x = 18,575,825,110.31
  5. Step 5: Solve for x
    x = 18,575,825,110.31/157,232.71
  6. Step 6: Final answer
    x = 118,142.24

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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.