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Finding the Fourth Proportional to 99,441, 137,230.74 and 54,729

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Solution

The fourth proportional to 99,441, 137,230.74 and 54,729 is: 75,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,441 : 137,230.74 = 54,729 : x
  2. Step 2: Convert to fraction form
    99,441/137,230.74 = 54,729/x
  3. Step 3: Cross multiply
    99,441x = 137,230.74 × 54,729
  4. Step 4: Simplify right side
    99,441x = 7,510,501,169.46
  5. Step 5: Solve for x
    x = 7,510,501,169.46/99,441
  6. Step 6: Final answer
    x = 75,527.21

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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.