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Finding the Fourth Proportional to 101,973.25, 140,701.75 and 61,679.13

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Solution

The fourth proportional to 101,973.25, 140,701.75 and 61,679.13 is: 85,104.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,973.25 : 140,701.75 = 61,679.13 : x
  2. Step 2: Convert to fraction form
    101,973.25/140,701.75 = 61,679.13/x
  3. Step 3: Cross multiply
    101,973.25x = 140,701.75 × 61,679.13
  4. Step 4: Simplify right side
    101,973.25x = 8,678,361,529.48
  5. Step 5: Solve for x
    x = 8,678,361,529.48/101,973.25
  6. Step 6: Final answer
    x = 85,104.29

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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.