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Finding the Fourth Proportional to 206,331.54, 284,861.76 and 134,831.22

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Solution

The fourth proportional to 206,331.54, 284,861.76 and 134,831.22 is: 186,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,331.54 : 284,861.76 = 134,831.22 : x
  2. Step 2: Convert to fraction form
    206,331.54/284,861.76 = 134,831.22/x
  3. Step 3: Cross multiply
    206,331.54x = 284,861.76 × 134,831.22
  4. Step 4: Simplify right side
    206,331.54x = 38,408,258,632.15
  5. Step 5: Solve for x
    x = 38,408,258,632.15/206,331.54
  6. Step 6: Final answer
    x = 186,148.27

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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.