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Finding the Fourth Proportional to 157,227.96, 217,105.20 and 145,831.32

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Solution

The fourth proportional to 157,227.96, 217,105.20 and 145,831.32 is: 201,368.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,227.96 : 217,105.20 = 145,831.32 : x
  2. Step 2: Convert to fraction form
    157,227.96/217,105.20 = 145,831.32/x
  3. Step 3: Cross multiply
    157,227.96x = 217,105.20 × 145,831.32
  4. Step 4: Simplify right side
    157,227.96x = 31,660,737,894.86
  5. Step 5: Solve for x
    x = 31,660,737,894.86/157,227.96
  6. Step 6: Final answer
    x = 201,368.37

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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.