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Finding the Fourth Proportional to 159,297.80, 219,831.12 and 87,677.84

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Solution

The fourth proportional to 159,297.80, 219,831.12 and 87,677.84 is: 120,995.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,297.80 : 219,831.12 = 87,677.84 : x
  2. Step 2: Convert to fraction form
    159,297.80/219,831.12 = 87,677.84/x
  3. Step 3: Cross multiply
    159,297.80x = 219,831.12 × 87,677.84
  4. Step 4: Simplify right side
    159,297.80x = 19,274,317,766.38
  5. Step 5: Solve for x
    x = 19,274,317,766.38/159,297.80
  6. Step 6: Final answer
    x = 120,995.51

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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.