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Finding the Fourth Proportional to 121,218.90, 181,856.96 and 38,112.90

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Solution

The fourth proportional to 121,218.90, 181,856.96 and 38,112.90 is: 57,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,218.90 : 181,856.96 = 38,112.90 : x
  2. Step 2: Convert to fraction form
    121,218.90/181,856.96 = 38,112.90/x
  3. Step 3: Cross multiply
    121,218.90x = 181,856.96 × 38,112.90
  4. Step 4: Simplify right side
    121,218.90x = 6,931,096,130.78
  5. Step 5: Solve for x
    x = 6,931,096,130.78/121,218.90
  6. Step 6: Final answer
    x = 57,178.35

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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.