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Finding the Fourth Proportional to 82,410.80, 122,923.40 and 74,842.86

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Solution

The fourth proportional to 82,410.80, 122,923.40 and 74,842.86 is: 111,635.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,410.80 : 122,923.40 = 74,842.86 : x
  2. Step 2: Convert to fraction form
    82,410.80/122,923.40 = 74,842.86/x
  3. Step 3: Cross multiply
    82,410.80x = 122,923.40 × 74,842.86
  4. Step 4: Simplify right side
    82,410.80x = 9,199,938,816.92
  5. Step 5: Solve for x
    x = 9,199,938,816.92/82,410.80
  6. Step 6: Final answer
    x = 111,635.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.