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Finding the Fourth Proportional to 99,838.96, 137,776.92 and 55,126

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Solution

The fourth proportional to 99,838.96, 137,776.92 and 55,126 is: 76,073.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,838.96 : 137,776.92 = 55,126 : x
  2. Step 2: Convert to fraction form
    99,838.96/137,776.92 = 55,126/x
  3. Step 3: Cross multiply
    99,838.96x = 137,776.92 × 55,126
  4. Step 4: Simplify right side
    99,838.96x = 7,595,090,491.92
  5. Step 5: Solve for x
    x = 7,595,090,491.92/99,838.96
  6. Step 6: Final answer
    x = 76,073.41

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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.