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Finding the Fourth Proportional to 99,863.53, 137,810.94 and 54,541.53

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Solution

The fourth proportional to 99,863.53, 137,810.94 and 54,541.53 is: 75,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,863.53 : 137,810.94 = 54,541.53 : x
  2. Step 2: Convert to fraction form
    99,863.53/137,810.94 = 54,541.53/x
  3. Step 3: Cross multiply
    99,863.53x = 137,810.94 × 54,541.53
  4. Step 4: Simplify right side
    99,863.53x = 7,516,419,386.41
  5. Step 5: Solve for x
    x = 7,516,419,386.41/99,863.53
  6. Step 6: Final answer
    x = 75,266.91

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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.