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Finding the Fourth Proportional to 99,961.40, 137,950.42 and 54,642.40

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Solution

The fourth proportional to 99,961.40, 137,950.42 and 54,642.40 is: 75,408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,961.40 : 137,950.42 = 54,642.40 : x
  2. Step 2: Convert to fraction form
    99,961.40/137,950.42 = 54,642.40/x
  3. Step 3: Cross multiply
    99,961.40x = 137,950.42 × 54,642.40
  4. Step 4: Simplify right side
    99,961.40x = 7,537,942,029.81
  5. Step 5: Solve for x
    x = 7,537,942,029.81/99,961.40
  6. Step 6: Final answer
    x = 75,408.53

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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.