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Finding the Fourth Proportional to 65,905.78, 90,950.06 and 35,691.15

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Solution

The fourth proportional to 65,905.78, 90,950.06 and 35,691.15 is: 49,253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,905.78 : 90,950.06 = 35,691.15 : x
  2. Step 2: Convert to fraction form
    65,905.78/90,950.06 = 35,691.15/x
  3. Step 3: Cross multiply
    65,905.78x = 90,950.06 × 35,691.15
  4. Step 4: Simplify right side
    65,905.78x = 3,246,112,233.97
  5. Step 5: Solve for x
    x = 3,246,112,233.97/65,905.78
  6. Step 6: Final answer
    x = 49,253.83

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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.