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Finding the Fourth Proportional to 82,140.30, 123,210.45 and 73,829.70

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Solution

The fourth proportional to 82,140.30, 123,210.45 and 73,829.70 is: 110,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,140.30 : 123,210.45 = 73,829.70 : x
  2. Step 2: Convert to fraction form
    82,140.30/123,210.45 = 73,829.70/x
  3. Step 3: Cross multiply
    82,140.30x = 123,210.45 × 73,829.70
  4. Step 4: Simplify right side
    82,140.30x = 9,096,590,560.37
  5. Step 5: Solve for x
    x = 9,096,590,560.37/82,140.30
  6. Step 6: Final answer
    x = 110,744.55

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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.