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Finding the Fourth Proportional to 138,571.91, 191,281.24 and 90,828.34

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Solution

The fourth proportional to 138,571.91, 191,281.24 and 90,828.34 is: 125,377.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,571.91 : 191,281.24 = 90,828.34 : x
  2. Step 2: Convert to fraction form
    138,571.91/191,281.24 = 90,828.34/x
  3. Step 3: Cross multiply
    138,571.91x = 191,281.24 × 90,828.34
  4. Step 4: Simplify right side
    138,571.91x = 17,373,756,318.86
  5. Step 5: Solve for x
    x = 17,373,756,318.86/138,571.91
  6. Step 6: Final answer
    x = 125,377.19

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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.