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Finding the Fourth Proportional to 82,005.70, 122,972.10 and 32,069.20

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Solution

The fourth proportional to 82,005.70, 122,972.10 and 32,069.20 is: 48,089.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,005.70 : 122,972.10 = 32,069.20 : x
  2. Step 2: Convert to fraction form
    82,005.70/122,972.10 = 32,069.20/x
  3. Step 3: Cross multiply
    82,005.70x = 122,972.10 × 32,069.20
  4. Step 4: Simplify right side
    82,005.70x = 3,943,616,869.32
  5. Step 5: Solve for x
    x = 3,943,616,869.32/82,005.70
  6. Step 6: Final answer
    x = 48,089.55

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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.