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Finding the Fourth Proportional to 121,804.11, 182,721.02 and 51,659.73

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Solution

The fourth proportional to 121,804.11, 182,721.02 and 51,659.73 is: 77,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,804.11 : 182,721.02 = 51,659.73 : x
  2. Step 2: Convert to fraction form
    121,804.11/182,721.02 = 51,659.73/x
  3. Step 3: Cross multiply
    121,804.11x = 182,721.02 × 51,659.73
  4. Step 4: Simplify right side
    121,804.11x = 9,439,318,300.23
  5. Step 5: Solve for x
    x = 9,439,318,300.23/121,804.11
  6. Step 6: Final answer
    x = 77,495.89

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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.