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Finding the Fourth Proportional to 67,871.40, 101,742.30 and 52,870.20

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Solution

The fourth proportional to 67,871.40, 101,742.30 and 52,870.20 is: 79,254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,871.40 : 101,742.30 = 52,870.20 : x
  2. Step 2: Convert to fraction form
    67,871.40/101,742.30 = 52,870.20/x
  3. Step 3: Cross multiply
    67,871.40x = 101,742.30 × 52,870.20
  4. Step 4: Simplify right side
    67,871.40x = 5,379,135,749.46
  5. Step 5: Solve for x
    x = 5,379,135,749.46/67,871.40
  6. Step 6: Final answer
    x = 79,254.82

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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.