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Finding the Fourth Proportional to 157,280.50, 217,049.57 and 85,660.48

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Solution

The fourth proportional to 157,280.50, 217,049.57 and 85,660.48 is: 118,212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,280.50 : 217,049.57 = 85,660.48 : x
  2. Step 2: Convert to fraction form
    157,280.50/217,049.57 = 85,660.48/x
  3. Step 3: Cross multiply
    157,280.50x = 217,049.57 × 85,660.48
  4. Step 4: Simplify right side
    157,280.50x = 18,592,570,349.99
  5. Step 5: Solve for x
    x = 18,592,570,349.99/157,280.50
  6. Step 6: Final answer
    x = 118,212.81

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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.