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Finding the Fourth Proportional to 105,139.52, 157,432.80 and 80,532.80

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Solution

The fourth proportional to 105,139.52, 157,432.80 and 80,532.80 is: 120,587.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,139.52 : 157,432.80 = 80,532.80 : x
  2. Step 2: Convert to fraction form
    105,139.52/157,432.80 = 80,532.80/x
  3. Step 3: Cross multiply
    105,139.52x = 157,432.80 × 80,532.80
  4. Step 4: Simplify right side
    105,139.52x = 12,678,504,195.84
  5. Step 5: Solve for x
    x = 12,678,504,195.84/105,139.52
  6. Step 6: Final answer
    x = 120,587.43

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1.5x scale

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.