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Finding the Fourth Proportional to 121,142.90, 181,714.35 and 83,818.10

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Solution

The fourth proportional to 121,142.90, 181,714.35 and 83,818.10 is: 125,727.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,142.90 : 181,714.35 = 83,818.10 : x
  2. Step 2: Convert to fraction form
    121,142.90/181,714.35 = 83,818.10/x
  3. Step 3: Cross multiply
    121,142.90x = 181,714.35 × 83,818.10
  4. Step 4: Simplify right side
    121,142.90x = 15,230,951,559.74
  5. Step 5: Solve for x
    x = 15,230,951,559.74/121,142.90
  6. Step 6: Final answer
    x = 125,727.15

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1.5x scale

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.