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Finding the Fourth Proportional to 65,693.31, 90,652.01 and 40,203.83

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Solution

The fourth proportional to 65,693.31, 90,652.01 and 40,203.83 is: 55,478.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,693.31 : 90,652.01 = 40,203.83 : x
  2. Step 2: Convert to fraction form
    65,693.31/90,652.01 = 40,203.83/x
  3. Step 3: Cross multiply
    65,693.31x = 90,652.01 × 40,203.83
  4. Step 4: Simplify right side
    65,693.31x = 3,644,557,344.92
  5. Step 5: Solve for x
    x = 3,644,557,344.92/65,693.31
  6. Step 6: Final answer
    x = 55,478.36

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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.