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Finding the Fourth Proportional to 223,253.42, 308,092.14 and 121,280.90

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Solution

The fourth proportional to 223,253.42, 308,092.14 and 121,280.90 is: 167,368.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,253.42 : 308,092.14 = 121,280.90 : x
  2. Step 2: Convert to fraction form
    223,253.42/308,092.14 = 121,280.90/x
  3. Step 3: Cross multiply
    223,253.42x = 308,092.14 × 121,280.90
  4. Step 4: Simplify right side
    223,253.42x = 37,365,690,481.67
  5. Step 5: Solve for x
    x = 37,365,690,481.67/223,253.42
  6. Step 6: Final answer
    x = 167,368.95

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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.