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Finding the Fourth Proportional to 107,124.80, 160,712.80 and 54,542.40

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Solution

The fourth proportional to 107,124.80, 160,712.80 and 54,542.40 is: 81,826.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,124.80 : 160,712.80 = 54,542.40 : x
  2. Step 2: Convert to fraction form
    107,124.80/160,712.80 = 54,542.40/x
  3. Step 3: Cross multiply
    107,124.80x = 160,712.80 × 54,542.40
  4. Step 4: Simplify right side
    107,124.80x = 8,765,661,822.72
  5. Step 5: Solve for x
    x = 8,765,661,822.72/107,124.80
  6. Step 6: Final answer
    x = 81,826.63

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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.