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Finding the Fourth Proportional to 268,045.34, 402,081.84 and 68,367.47

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Solution

The fourth proportional to 268,045.34, 402,081.84 and 68,367.47 is: 102,554.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,045.34 : 402,081.84 = 68,367.47 : x
  2. Step 2: Convert to fraction form
    268,045.34/402,081.84 = 68,367.47/x
  3. Step 3: Cross multiply
    268,045.34x = 402,081.84 × 68,367.47
  4. Step 4: Simplify right side
    268,045.34x = 27,489,316,123.34
  5. Step 5: Solve for x
    x = 27,489,316,123.34/268,045.34
  6. Step 6: Final answer
    x = 102,554.73

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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.