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Finding the Fourth Proportional to 82,670.80, 124,006.20 and 72,821.20

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Solution

The fourth proportional to 82,670.80, 124,006.20 and 72,821.20 is: 109,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,670.80 : 124,006.20 = 72,821.20 : x
  2. Step 2: Convert to fraction form
    82,670.80/124,006.20 = 72,821.20/x
  3. Step 3: Cross multiply
    82,670.80x = 124,006.20 × 72,821.20
  4. Step 4: Simplify right side
    82,670.80x = 9,030,280,291.44
  5. Step 5: Solve for x
    x = 9,030,280,291.44/82,670.80
  6. Step 6: Final answer
    x = 109,231.80

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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.