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Finding the Fourth Proportional to 230,695.16, 345,831.32 and 80,853.77

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Solution

The fourth proportional to 230,695.16, 345,831.32 and 80,853.77 is: 121,206.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,695.16 : 345,831.32 = 80,853.77 : x
  2. Step 2: Convert to fraction form
    230,695.16/345,831.32 = 80,853.77/x
  3. Step 3: Cross multiply
    230,695.16x = 345,831.32 × 80,853.77
  4. Step 4: Simplify right side
    230,695.16x = 27,961,764,479.05
  5. Step 5: Solve for x
    x = 27,961,764,479.05/230,695.16
  6. Step 6: Final answer
    x = 121,206.55

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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.