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Finding the Fourth Proportional to 157,910.14, 217,906.74 and 86,290.72

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Solution

The fourth proportional to 157,910.14, 217,906.74 and 86,290.72 is: 119,076.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,910.14 : 217,906.74 = 86,290.72 : x
  2. Step 2: Convert to fraction form
    157,910.14/217,906.74 = 86,290.72/x
  3. Step 3: Cross multiply
    157,910.14x = 217,906.74 × 86,290.72
  4. Step 4: Simplify right side
    157,910.14x = 18,803,329,487.45
  5. Step 5: Solve for x
    x = 18,803,329,487.45/157,910.14
  6. Step 6: Final answer
    x = 119,076.14

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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.