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Finding the Fourth Proportional to 67,738, 101,539.68 and 45,500.28

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Solution

The fourth proportional to 67,738, 101,539.68 and 45,500.28 is: 68,205.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,738 : 101,539.68 = 45,500.28 : x
  2. Step 2: Convert to fraction form
    67,738/101,539.68 = 45,500.28/x
  3. Step 3: Cross multiply
    67,738x = 101,539.68 × 45,500.28
  4. Step 4: Simplify right side
    67,738x = 4,620,083,871.11
  5. Step 5: Solve for x
    x = 4,620,083,871.11/67,738
  6. Step 6: Final answer
    x = 68,205.20

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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.