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Finding the Fourth Proportional to 99,413, 137,189.94 and 54,701

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Solution

The fourth proportional to 99,413, 137,189.94 and 54,701 is: 75,487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,413 : 137,189.94 = 54,701 : x
  2. Step 2: Convert to fraction form
    99,413/137,189.94 = 54,701/x
  3. Step 3: Cross multiply
    99,413x = 137,189.94 × 54,701
  4. Step 4: Simplify right side
    99,413x = 7,504,426,907.94
  5. Step 5: Solve for x
    x = 7,504,426,907.94/99,413
  6. Step 6: Final answer
    x = 75,487.38

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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.