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Finding the Fourth Proportional to 159,299.22, 219,831.20 and 87,677.69

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Solution

The fourth proportional to 159,299.22, 219,831.20 and 87,677.69 is: 120,994.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,299.22 : 219,831.20 = 87,677.69 : x
  2. Step 2: Convert to fraction form
    159,299.22/219,831.20 = 87,677.69/x
  3. Step 3: Cross multiply
    159,299.22x = 219,831.20 × 87,677.69
  4. Step 4: Simplify right side
    159,299.22x = 19,274,291,805.93
  5. Step 5: Solve for x
    x = 19,274,291,805.93/159,299.22
  6. Step 6: Final answer
    x = 120,994.26

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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.