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Finding the Fourth Proportional to 121,113.10, 181,702.05 and 86,121.10

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Solution

The fourth proportional to 121,113.10, 181,702.05 and 86,121.10 is: 129,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,113.10 : 181,702.05 = 86,121.10 : x
  2. Step 2: Convert to fraction form
    121,113.10/181,702.05 = 86,121.10/x
  3. Step 3: Cross multiply
    121,113.10x = 181,702.05 × 86,121.10
  4. Step 4: Simplify right side
    121,113.10x = 15,648,380,418.26
  5. Step 5: Solve for x
    x = 15,648,380,418.26/121,113.10
  6. Step 6: Final answer
    x = 129,204.69

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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.