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Finding the Fourth Proportional to 229,123, 343,712.58 and 71,326.36

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Solution

The fourth proportional to 229,123, 343,712.58 and 71,326.36 is: 106,998.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,123 : 343,712.58 = 71,326.36 : x
  2. Step 2: Convert to fraction form
    229,123/343,712.58 = 71,326.36/x
  3. Step 3: Cross multiply
    229,123x = 343,712.58 × 71,326.36
  4. Step 4: Simplify right side
    229,123x = 24,515,767,217.61
  5. Step 5: Solve for x
    x = 24,515,767,217.61/229,123
  6. Step 6: Final answer
    x = 106,998.28

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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.