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Finding the Fourth Proportional to 157,880.72, 217,872.85 and 86,259.20

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Solution

The fourth proportional to 157,880.72, 217,872.85 and 86,259.20 is: 119,036.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,880.72 : 217,872.85 = 86,259.20 : x
  2. Step 2: Convert to fraction form
    157,880.72/217,872.85 = 86,259.20/x
  3. Step 3: Cross multiply
    157,880.72x = 217,872.85 × 86,259.20
  4. Step 4: Simplify right side
    157,880.72x = 18,793,538,195.14
  5. Step 5: Solve for x
    x = 18,793,538,195.14/157,880.72
  6. Step 6: Final answer
    x = 119,036.31

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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.