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Finding the Fourth Proportional to 542,119.80, 813,219.66 and 142,757.82

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Solution

The fourth proportional to 542,119.80, 813,219.66 and 142,757.82 is: 214,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,119.80 : 813,219.66 = 142,757.82 : x
  2. Step 2: Convert to fraction form
    542,119.80/813,219.66 = 142,757.82/x
  3. Step 3: Cross multiply
    542,119.80x = 813,219.66 × 142,757.82
  4. Step 4: Simplify right side
    542,119.80x = 116,093,465,842.74
  5. Step 5: Solve for x
    x = 116,093,465,842.74/542,119.80
  6. Step 6: Final answer
    x = 214,147.25

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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.