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Finding the Fourth Proportional to 99,564.67, 137,398.67 and 54,242.56

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Solution

The fourth proportional to 99,564.67, 137,398.67 and 54,242.56 is: 74,854.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,564.67 : 137,398.67 = 54,242.56 : x
  2. Step 2: Convert to fraction form
    99,564.67/137,398.67 = 54,242.56/x
  3. Step 3: Cross multiply
    99,564.67x = 137,398.67 × 54,242.56
  4. Step 4: Simplify right side
    99,564.67x = 7,452,854,914.40
  5. Step 5: Solve for x
    x = 7,452,854,914.40/99,564.67
  6. Step 6: Final answer
    x = 74,854.42

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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.