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Finding the Fourth Proportional to 67,871.32, 101,840.92 and 30,458.14

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Solution

The fourth proportional to 67,871.32, 101,840.92 and 30,458.14 is: 45,702.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,871.32 : 101,840.92 = 30,458.14 : x
  2. Step 2: Convert to fraction form
    67,871.32/101,840.92 = 30,458.14/x
  3. Step 3: Cross multiply
    67,871.32x = 101,840.92 × 30,458.14
  4. Step 4: Simplify right side
    67,871.32x = 3,101,884,999.09
  5. Step 5: Solve for x
    x = 3,101,884,999.09/67,871.32
  6. Step 6: Final answer
    x = 45,702.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.