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Finding the Fourth Proportional to 216,040.40, 298,247.85 and 157,831.86

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Solution

The fourth proportional to 216,040.40, 298,247.85 and 157,831.86 is: 217,889.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,040.40 : 298,247.85 = 157,831.86 : x
  2. Step 2: Convert to fraction form
    216,040.40/298,247.85 = 157,831.86/x
  3. Step 3: Cross multiply
    216,040.40x = 298,247.85 × 157,831.86
  4. Step 4: Simplify right side
    216,040.40x = 47,073,013,531.28
  5. Step 5: Solve for x
    x = 47,073,013,531.28/216,040.40
  6. Step 6: Final answer
    x = 217,889.86

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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.