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Finding the Fourth Proportional to 82,638.40, 123,871.20 and 45,140.80

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Solution

The fourth proportional to 82,638.40, 123,871.20 and 45,140.80 is: 67,664.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,638.40 : 123,871.20 = 45,140.80 : x
  2. Step 2: Convert to fraction form
    82,638.40/123,871.20 = 45,140.80/x
  3. Step 3: Cross multiply
    82,638.40x = 123,871.20 × 45,140.80
  4. Step 4: Simplify right side
    82,638.40x = 5,591,645,064.96
  5. Step 5: Solve for x
    x = 5,591,645,064.96/82,638.40
  6. Step 6: Final answer
    x = 67,664.00

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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.