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Finding the Fourth Proportional to 283,311.15, 425,012.87 and 83,651.72

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Solution

The fourth proportional to 283,311.15, 425,012.87 and 83,651.72 is: 125,491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,311.15 : 425,012.87 = 83,651.72 : x
  2. Step 2: Convert to fraction form
    283,311.15/425,012.87 = 83,651.72/x
  3. Step 3: Cross multiply
    283,311.15x = 425,012.87 × 83,651.72
  4. Step 4: Simplify right side
    283,311.15x = 35,553,055,681.70
  5. Step 5: Solve for x
    x = 35,553,055,681.70/283,311.15
  6. Step 6: Final answer
    x = 125,491.20

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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.