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Finding the Fourth Proportional to 220,040.78, 329,975.08 and 77,831.11

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Solution

The fourth proportional to 220,040.78, 329,975.08 and 77,831.11 is: 116,716.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,040.78 : 329,975.08 = 77,831.11 : x
  2. Step 2: Convert to fraction form
    220,040.78/329,975.08 = 77,831.11/x
  3. Step 3: Cross multiply
    220,040.78x = 329,975.08 × 77,831.11
  4. Step 4: Simplify right side
    220,040.78x = 25,682,326,748.74
  5. Step 5: Solve for x
    x = 25,682,326,748.74/220,040.78
  6. Step 6: Final answer
    x = 116,716.21

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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.