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Finding the Fourth Proportional to 157,937.49, 217,954.13 and 86,318.37

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Solution

The fourth proportional to 157,937.49, 217,954.13 and 86,318.37 is: 119,119.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,937.49 : 217,954.13 = 86,318.37 : x
  2. Step 2: Convert to fraction form
    157,937.49/217,954.13 = 86,318.37/x
  3. Step 3: Cross multiply
    157,937.49x = 217,954.13 × 86,318.37
  4. Step 4: Simplify right side
    157,937.49x = 18,813,444,804.78
  5. Step 5: Solve for x
    x = 18,813,444,804.78/157,937.49
  6. Step 6: Final answer
    x = 119,119.56

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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.