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Finding the Fourth Proportional to 157,280.24, 217,049.20 and 85,660.20

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Solution

The fourth proportional to 157,280.24, 217,049.20 and 85,660.20 is: 118,212.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,280.24 : 217,049.20 = 85,660.20 : x
  2. Step 2: Convert to fraction form
    157,280.24/217,049.20 = 85,660.20/x
  3. Step 3: Cross multiply
    157,280.24x = 217,049.20 × 85,660.20
  4. Step 4: Simplify right side
    157,280.24x = 18,592,477,453.54
  5. Step 5: Solve for x
    x = 18,592,477,453.54/157,280.24
  6. Step 6: Final answer
    x = 118,212.42

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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.