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Finding the Fourth Proportional to 65,186.43, 89,957.31 and 35,378.43

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Solution

The fourth proportional to 65,186.43, 89,957.31 and 35,378.43 is: 48,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,186.43 : 89,957.31 = 35,378.43 : x
  2. Step 2: Convert to fraction form
    65,186.43/89,957.31 = 35,378.43/x
  3. Step 3: Cross multiply
    65,186.43x = 89,957.31 × 35,378.43
  4. Step 4: Simplify right side
    65,186.43x = 3,182,548,394.82
  5. Step 5: Solve for x
    x = 3,182,548,394.82/65,186.43
  6. Step 6: Final answer
    x = 48,822.25

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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.