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Finding the Fourth Proportional to 159,299.70, 219,831.90 and 87,678.18

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Solution

The fourth proportional to 159,299.70, 219,831.90 and 87,678.18 is: 120,994.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,299.70 : 219,831.90 = 87,678.18 : x
  2. Step 2: Convert to fraction form
    159,299.70/219,831.90 = 87,678.18/x
  3. Step 3: Cross multiply
    159,299.70x = 219,831.90 × 87,678.18
  4. Step 4: Simplify right side
    159,299.70x = 19,274,460,897.94
  5. Step 5: Solve for x
    x = 19,274,460,897.94/159,299.70
  6. Step 6: Final answer
    x = 120,994.96

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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.