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Finding the Fourth Proportional to 218,076.53, 300,947.26 and 121,281.73

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Solution

The fourth proportional to 218,076.53, 300,947.26 and 121,281.73 is: 167,369.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,076.53 : 300,947.26 = 121,281.73 : x
  2. Step 2: Convert to fraction form
    218,076.53/300,947.26 = 121,281.73/x
  3. Step 3: Cross multiply
    218,076.53x = 300,947.26 × 121,281.73
  4. Step 4: Simplify right side
    218,076.53x = 36,499,402,826.82
  5. Step 5: Solve for x
    x = 36,499,402,826.82/218,076.53
  6. Step 6: Final answer
    x = 167,369.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.