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Finding the Fourth Proportional to 279,959.66, 420,113.65 and 113,747.66

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Solution

The fourth proportional to 279,959.66, 420,113.65 and 113,747.66 is: 170,692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,959.66 : 420,113.65 = 113,747.66 : x
  2. Step 2: Convert to fraction form
    279,959.66/420,113.65 = 113,747.66/x
  3. Step 3: Cross multiply
    279,959.66x = 420,113.65 × 113,747.66
  4. Step 4: Simplify right side
    279,959.66x = 47,786,944,621.56
  5. Step 5: Solve for x
    x = 47,786,944,621.56/279,959.66
  6. Step 6: Final answer
    x = 170,692.25

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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.