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Finding the Fourth Proportional to 99,773.61, 137,683.31 and 54,450.47

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Solution

The fourth proportional to 99,773.61, 137,683.31 and 54,450.47 is: 75,139.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,773.61 : 137,683.31 = 54,450.47 : x
  2. Step 2: Convert to fraction form
    99,773.61/137,683.31 = 54,450.47/x
  3. Step 3: Cross multiply
    99,773.61x = 137,683.31 × 54,450.47
  4. Step 4: Simplify right side
    99,773.61x = 7,496,919,979.99
  5. Step 5: Solve for x
    x = 7,496,919,979.99/99,773.61
  6. Step 6: Final answer
    x = 75,139.31

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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.