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Finding the Fourth Proportional to 112,041.80, 167,915.10 and 82,320.20

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Solution

The fourth proportional to 112,041.80, 167,915.10 and 82,320.20 is: 123,371.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,041.80 : 167,915.10 = 82,320.20 : x
  2. Step 2: Convert to fraction form
    112,041.80/167,915.10 = 82,320.20/x
  3. Step 3: Cross multiply
    112,041.80x = 167,915.10 × 82,320.20
  4. Step 4: Simplify right side
    112,041.80x = 13,822,804,615.02
  5. Step 5: Solve for x
    x = 13,822,804,615.02/112,041.80
  6. Step 6: Final answer
    x = 123,371.85

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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.