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Finding the Fourth Proportional to 157,763.87, 217,713.27 and 86,143.39

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Solution

The fourth proportional to 157,763.87, 217,713.27 and 86,143.39 is: 118,877.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,763.87 : 217,713.27 = 86,143.39 : x
  2. Step 2: Convert to fraction form
    157,763.87/217,713.27 = 86,143.39/x
  3. Step 3: Cross multiply
    157,763.87x = 217,713.27 × 86,143.39
  4. Step 4: Simplify right side
    157,763.87x = 18,754,558,796.86
  5. Step 5: Solve for x
    x = 18,754,558,796.86/157,763.87
  6. Step 6: Final answer
    x = 118,877.40

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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.