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Finding the Fourth Proportional to 108,182.40, 149,405.76 and 82,780.80

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Solution

The fourth proportional to 108,182.40, 149,405.76 and 82,780.80 is: 114,324.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,182.40 : 149,405.76 = 82,780.80 : x
  2. Step 2: Convert to fraction form
    108,182.40/149,405.76 = 82,780.80/x
  3. Step 3: Cross multiply
    108,182.40x = 149,405.76 × 82,780.80
  4. Step 4: Simplify right side
    108,182.40x = 12,367,928,337.41
  5. Step 5: Solve for x
    x = 12,367,928,337.41/108,182.40
  6. Step 6: Final answer
    x = 114,324.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.