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Finding the Fourth Proportional to 99,959.40, 137,947.66 and 54,640.41

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Solution

The fourth proportional to 99,959.40, 137,947.66 and 54,640.41 is: 75,405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,959.40 : 137,947.66 = 54,640.41 : x
  2. Step 2: Convert to fraction form
    99,959.40/137,947.66 = 54,640.41/x
  3. Step 3: Cross multiply
    99,959.40x = 137,947.66 × 54,640.41
  4. Step 4: Simplify right side
    99,959.40x = 7,537,516,047.04
  5. Step 5: Solve for x
    x = 7,537,516,047.04/99,959.40
  6. Step 6: Final answer
    x = 75,405.78

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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.