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Finding the Fourth Proportional to 211,472.84, 291,831.92 and 120,856.92

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Solution

The fourth proportional to 211,472.84, 291,831.92 and 120,856.92 is: 166,782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,472.84 : 291,831.92 = 120,856.92 : x
  2. Step 2: Convert to fraction form
    211,472.84/291,831.92 = 120,856.92/x
  3. Step 3: Cross multiply
    211,472.84x = 291,831.92 × 120,856.92
  4. Step 4: Simplify right side
    211,472.84x = 35,269,906,404.60
  5. Step 5: Solve for x
    x = 35,269,906,404.60/211,472.84
  6. Step 6: Final answer
    x = 166,782.21

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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.