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Finding the Fourth Proportional to 218,955.86, 328,278.06 and 83,905.50

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Solution

The fourth proportional to 218,955.86, 328,278.06 and 83,905.50 is: 125,798.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,955.86 : 328,278.06 = 83,905.50 : x
  2. Step 2: Convert to fraction form
    218,955.86/328,278.06 = 83,905.50/x
  3. Step 3: Cross multiply
    218,955.86x = 328,278.06 × 83,905.50
  4. Step 4: Simplify right side
    218,955.86x = 27,544,334,763.33
  5. Step 5: Solve for x
    x = 27,544,334,763.33/218,955.86
  6. Step 6: Final answer
    x = 125,798.58

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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.