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Finding the Fourth Proportional to 70,535.92, 105,831.40 and 31,065.28

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Solution

The fourth proportional to 70,535.92, 105,831.40 and 31,065.28 is: 46,610.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,535.92 : 105,831.40 = 31,065.28 : x
  2. Step 2: Convert to fraction form
    70,535.92/105,831.40 = 31,065.28/x
  3. Step 3: Cross multiply
    70,535.92x = 105,831.40 × 31,065.28
  4. Step 4: Simplify right side
    70,535.92x = 3,287,682,073.79
  5. Step 5: Solve for x
    x = 3,287,682,073.79/70,535.92
  6. Step 6: Final answer
    x = 46,610.04

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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.