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Finding the Fourth Proportional to 70,831.80, 106,251.54 and 26,470.20

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Solution

The fourth proportional to 70,831.80, 106,251.54 and 26,470.20 is: 39,706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,831.80 : 106,251.54 = 26,470.20 : x
  2. Step 2: Convert to fraction form
    70,831.80/106,251.54 = 26,470.20/x
  3. Step 3: Cross multiply
    70,831.80x = 106,251.54 × 26,470.20
  4. Step 4: Simplify right side
    70,831.80x = 2,812,499,514.11
  5. Step 5: Solve for x
    x = 2,812,499,514.11/70,831.80
  6. Step 6: Final answer
    x = 39,706.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.