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Finding the Fourth Proportional to 105,147.52, 157,444.80 and 80,540.80

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Solution

The fourth proportional to 105,147.52, 157,444.80 and 80,540.80 is: 120,599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,147.52 : 157,444.80 = 80,540.80 : x
  2. Step 2: Convert to fraction form
    105,147.52/157,444.80 = 80,540.80/x
  3. Step 3: Cross multiply
    105,147.52x = 157,444.80 × 80,540.80
  4. Step 4: Simplify right side
    105,147.52x = 12,680,730,147.84
  5. Step 5: Solve for x
    x = 12,680,730,147.84/105,147.52
  6. Step 6: Final answer
    x = 120,599.42

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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.