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Finding the Fourth Proportional to 157,761.12, 217,719.20 and 86,147.80

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Solution

The fourth proportional to 157,761.12, 217,719.20 and 86,147.80 is: 118,888.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,761.12 : 217,719.20 = 86,147.80 : x
  2. Step 2: Convert to fraction form
    157,761.12/217,719.20 = 86,147.80/x
  3. Step 3: Cross multiply
    157,761.12x = 217,719.20 × 86,147.80
  4. Step 4: Simplify right side
    157,761.12x = 18,756,030,097.76
  5. Step 5: Solve for x
    x = 18,756,030,097.76/157,761.12
  6. Step 6: Final answer
    x = 118,888.80

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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.