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Finding the Fourth Proportional to 180,295.31, 248,790.81 and 99,721.10

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Solution

The fourth proportional to 180,295.31, 248,790.81 and 99,721.10 is: 137,605.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,295.31 : 248,790.81 = 99,721.10 : x
  2. Step 2: Convert to fraction form
    180,295.31/248,790.81 = 99,721.10/x
  3. Step 3: Cross multiply
    180,295.31x = 248,790.81 × 99,721.10
  4. Step 4: Simplify right side
    180,295.31x = 24,809,693,817.60
  5. Step 5: Solve for x
    x = 24,809,693,817.60/180,295.31
  6. Step 6: Final answer
    x = 137,605.87

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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.