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Finding the Fourth Proportional to 218,798.70, 328,010.83 and 83,959.53

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Solution

The fourth proportional to 218,798.70, 328,010.83 and 83,959.53 is: 125,867.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,798.70 : 328,010.83 = 83,959.53 : x
  2. Step 2: Convert to fraction form
    218,798.70/328,010.83 = 83,959.53/x
  3. Step 3: Cross multiply
    218,798.70x = 328,010.83 × 83,959.53
  4. Step 4: Simplify right side
    218,798.70x = 27,539,635,121.71
  5. Step 5: Solve for x
    x = 27,539,635,121.71/218,798.70
  6. Step 6: Final answer
    x = 125,867.45

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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.