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Finding the Fourth Proportional to 65,186.74, 89,957.74 and 35,378.74

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Solution

The fourth proportional to 65,186.74, 89,957.74 and 35,378.74 is: 48,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,186.74 : 89,957.74 = 35,378.74 : x
  2. Step 2: Convert to fraction form
    65,186.74/89,957.74 = 35,378.74/x
  3. Step 3: Cross multiply
    65,186.74x = 89,957.74 × 35,378.74
  4. Step 4: Simplify right side
    65,186.74x = 3,182,591,763.57
  5. Step 5: Solve for x
    x = 3,182,591,763.57/65,186.74
  6. Step 6: Final answer
    x = 48,822.68

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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.