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Finding the Fourth Proportional to 218,831.16, 328,263.68 and 83,959.80

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Solution

The fourth proportional to 218,831.16, 328,263.68 and 83,959.80 is: 125,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,831.16 : 328,263.68 = 83,959.80 : x
  2. Step 2: Convert to fraction form
    218,831.16/328,263.68 = 83,959.80/x
  3. Step 3: Cross multiply
    218,831.16x = 328,263.68 × 83,959.80
  4. Step 4: Simplify right side
    218,831.16x = 27,560,952,920.06
  5. Step 5: Solve for x
    x = 27,560,952,920.06/218,831.16
  6. Step 6: Final answer
    x = 125,946.20

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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.