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Finding the Fourth Proportional to 99,903.91, 137,876.93 and 54,588.78

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Solution

The fourth proportional to 99,903.91, 137,876.93 and 54,588.78 is: 75,337.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,903.91 : 137,876.93 = 54,588.78 : x
  2. Step 2: Convert to fraction form
    99,903.91/137,876.93 = 54,588.78/x
  3. Step 3: Cross multiply
    99,903.91x = 137,876.93 × 54,588.78
  4. Step 4: Simplify right side
    99,903.91x = 7,526,533,880.01
  5. Step 5: Solve for x
    x = 7,526,533,880.01/99,903.91
  6. Step 6: Final answer
    x = 75,337.73

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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.