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Finding the Fourth Proportional to 157,797, 217,760.66 and 86,177.02

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Solution

The fourth proportional to 157,797, 217,760.66 and 86,177.02 is: 118,924.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,797 : 217,760.66 = 86,177.02 : x
  2. Step 2: Convert to fraction form
    157,797/217,760.66 = 86,177.02/x
  3. Step 3: Cross multiply
    157,797x = 217,760.66 × 86,177.02
  4. Step 4: Simplify right side
    157,797x = 18,765,964,752.03
  5. Step 5: Solve for x
    x = 18,765,964,752.03/157,797
  6. Step 6: Final answer
    x = 118,924.72

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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.