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Finding the Fourth Proportional to 67,561.44, 101,342.40 and 39,840

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Solution

The fourth proportional to 67,561.44, 101,342.40 and 39,840 is: 59,760.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,561.44 : 101,342.40 = 39,840 : x
  2. Step 2: Convert to fraction form
    67,561.44/101,342.40 = 39,840/x
  3. Step 3: Cross multiply
    67,561.44x = 101,342.40 × 39,840
  4. Step 4: Simplify right side
    67,561.44x = 4,037,481,216
  5. Step 5: Solve for x
    x = 4,037,481,216/67,561.44
  6. Step 6: Final answer
    x = 59,760.14

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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.