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Finding the Fourth Proportional to 157,124.85, 216,831.89 and 85,504.85

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Solution

The fourth proportional to 157,124.85, 216,831.89 and 85,504.85 is: 117,996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,124.85 : 216,831.89 = 85,504.85 : x
  2. Step 2: Convert to fraction form
    157,124.85/216,831.89 = 85,504.85/x
  3. Step 3: Cross multiply
    157,124.85x = 216,831.89 × 85,504.85
  4. Step 4: Simplify right side
    157,124.85x = 18,540,177,691.42
  5. Step 5: Solve for x
    x = 18,540,177,691.42/157,124.85
  6. Step 6: Final answer
    x = 117,996.47

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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.