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Finding the Fourth Proportional to 283,582.78, 425,226.54 and 83,876.21

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Solution

The fourth proportional to 283,582.78, 425,226.54 and 83,876.21 is: 125,770.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,582.78 : 425,226.54 = 83,876.21 : x
  2. Step 2: Convert to fraction form
    283,582.78/425,226.54 = 83,876.21/x
  3. Step 3: Cross multiply
    283,582.78x = 425,226.54 × 83,876.21
  4. Step 4: Simplify right side
    283,582.78x = 35,666,392,741.52
  5. Step 5: Solve for x
    x = 35,666,392,741.52/283,582.78
  6. Step 6: Final answer
    x = 125,770.66

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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.