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Finding the Fourth Proportional to 180,295.81, 248,791.50 and 99,721.61

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Solution

The fourth proportional to 180,295.81, 248,791.50 and 99,721.61 is: 137,606.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,295.81 : 248,791.50 = 99,721.61 : x
  2. Step 2: Convert to fraction form
    180,295.81/248,791.50 = 99,721.61/x
  3. Step 3: Cross multiply
    180,295.81x = 248,791.50 × 99,721.61
  4. Step 4: Simplify right side
    180,295.81x = 24,809,887,191.75
  5. Step 5: Solve for x
    x = 24,809,887,191.75/180,295.81
  6. Step 6: Final answer
    x = 137,606.57

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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.