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Finding the Fourth Proportional to 121,228.92, 181,871.98 and 38,122.92

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Solution

The fourth proportional to 121,228.92, 181,871.98 and 38,122.92 is: 57,193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,228.92 : 181,871.98 = 38,122.92 : x
  2. Step 2: Convert to fraction form
    121,228.92/181,871.98 = 38,122.92/x
  3. Step 3: Cross multiply
    121,228.92x = 181,871.98 × 38,122.92
  4. Step 4: Simplify right side
    121,228.92x = 6,933,490,943.78
  5. Step 5: Solve for x
    x = 6,933,490,943.78/121,228.92
  6. Step 6: Final answer
    x = 57,193.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.