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Finding the Fourth Proportional to 157,712.91, 217,648.67 and 86,097.57

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Solution

The fourth proportional to 157,712.91, 217,648.67 and 86,097.57 is: 118,817.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,712.91 : 217,648.67 = 86,097.57 : x
  2. Step 2: Convert to fraction form
    157,712.91/217,648.67 = 86,097.57/x
  3. Step 3: Cross multiply
    157,712.91x = 217,648.67 × 86,097.57
  4. Step 4: Simplify right side
    157,712.91x = 18,739,021,170.24
  5. Step 5: Solve for x
    x = 18,739,021,170.24/157,712.91
  6. Step 6: Final answer
    x = 118,817.29

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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.