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Finding the Fourth Proportional to 82,871.90, 124,340.65 and 30,285.48

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Solution

The fourth proportional to 82,871.90, 124,340.65 and 30,285.48 is: 45,440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,871.90 : 124,340.65 = 30,285.48 : x
  2. Step 2: Convert to fraction form
    82,871.90/124,340.65 = 30,285.48/x
  3. Step 3: Cross multiply
    82,871.90x = 124,340.65 × 30,285.48
  4. Step 4: Simplify right side
    82,871.90x = 3,765,716,268.76
  5. Step 5: Solve for x
    x = 3,765,716,268.76/82,871.90
  6. Step 6: Final answer
    x = 45,440.21

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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.