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Finding the Fourth Proportional to 84,006.57, 125,970.19 and 30,661.54

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Solution

The fourth proportional to 84,006.57, 125,970.19 and 30,661.54 is: 45,977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,006.57 : 125,970.19 = 30,661.54 : x
  2. Step 2: Convert to fraction form
    84,006.57/125,970.19 = 30,661.54/x
  3. Step 3: Cross multiply
    84,006.57x = 125,970.19 × 30,661.54
  4. Step 4: Simplify right side
    84,006.57x = 3,862,439,627.91
  5. Step 5: Solve for x
    x = 3,862,439,627.91/84,006.57
  6. Step 6: Final answer
    x = 45,977.83

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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.