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Finding the Fourth Proportional to 62,778, 86,641.34 and 36,282

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Solution

The fourth proportional to 62,778, 86,641.34 and 36,282 is: 50,073.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,778 : 86,641.34 = 36,282 : x
  2. Step 2: Convert to fraction form
    62,778/86,641.34 = 36,282/x
  3. Step 3: Cross multiply
    62,778x = 86,641.34 × 36,282
  4. Step 4: Simplify right side
    62,778x = 3,143,521,097.88
  5. Step 5: Solve for x
    x = 3,143,521,097.88/62,778
  6. Step 6: Final answer
    x = 50,073.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.