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Finding the Fourth Proportional to 99,771.84, 137,683.08 and 54,450.72

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Solution

The fourth proportional to 99,771.84, 137,683.08 and 54,450.72 is: 75,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,771.84 : 137,683.08 = 54,450.72 : x
  2. Step 2: Convert to fraction form
    99,771.84/137,683.08 = 54,450.72/x
  3. Step 3: Cross multiply
    99,771.84x = 137,683.08 × 54,450.72
  4. Step 4: Simplify right side
    99,771.84x = 7,496,942,837.82
  5. Step 5: Solve for x
    x = 7,496,942,837.82/99,771.84
  6. Step 6: Final answer
    x = 75,140.87

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1.5x scale

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.