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Finding the Fourth Proportional to 121,310.10, 181,965.15 and 111,978.90

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Solution

The fourth proportional to 121,310.10, 181,965.15 and 111,978.90 is: 167,968.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,310.10 : 181,965.15 = 111,978.90 : x
  2. Step 2: Convert to fraction form
    121,310.10/181,965.15 = 111,978.90/x
  3. Step 3: Cross multiply
    121,310.10x = 181,965.15 × 111,978.90
  4. Step 4: Simplify right side
    121,310.10x = 20,376,257,335.34
  5. Step 5: Solve for x
    x = 20,376,257,335.34/121,310.10
  6. Step 6: Final answer
    x = 167,968.35

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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.