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Finding the Fourth Proportional to 99,767.56, 137,682.14 and 54,448.46

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Solution

The fourth proportional to 99,767.56, 137,682.14 and 54,448.46 is: 75,140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,767.56 : 137,682.14 = 54,448.46 : x
  2. Step 2: Convert to fraction form
    99,767.56/137,682.14 = 54,448.46/x
  3. Step 3: Cross multiply
    99,767.56x = 137,682.14 × 54,448.46
  4. Step 4: Simplify right side
    99,767.56x = 7,496,579,531.85
  5. Step 5: Solve for x
    x = 7,496,579,531.85/99,767.56
  6. Step 6: Final answer
    x = 75,140.45

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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.