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Finding the Fourth Proportional to 157,859.61, 217,834.81 and 86,224.42

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Solution

The fourth proportional to 157,859.61, 217,834.81 and 86,224.42 is: 118,983.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,859.61 : 217,834.81 = 86,224.42 : x
  2. Step 2: Convert to fraction form
    157,859.61/217,834.81 = 86,224.42/x
  3. Step 3: Cross multiply
    157,859.61x = 217,834.81 × 86,224.42
  4. Step 4: Simplify right side
    157,859.61x = 18,782,680,148.06
  5. Step 5: Solve for x
    x = 18,782,680,148.06/157,859.61
  6. Step 6: Final answer
    x = 118,983.44

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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.