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Finding the Fourth Proportional to 82,166.40, 123,076.80 and 73,411.20

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Solution

The fourth proportional to 82,166.40, 123,076.80 and 73,411.20 is: 109,962.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,166.40 : 123,076.80 = 73,411.20 : x
  2. Step 2: Convert to fraction form
    82,166.40/123,076.80 = 73,411.20/x
  3. Step 3: Cross multiply
    82,166.40x = 123,076.80 × 73,411.20
  4. Step 4: Simplify right side
    82,166.40x = 9,035,215,580.16
  5. Step 5: Solve for x
    x = 9,035,215,580.16/82,166.40
  6. Step 6: Final answer
    x = 109,962.41

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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.