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Finding the Fourth Proportional to 61,409, 84,744.42 and 34,913

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Solution

The fourth proportional to 61,409, 84,744.42 and 34,913 is: 48,179.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,409 : 84,744.42 = 34,913 : x
  2. Step 2: Convert to fraction form
    61,409/84,744.42 = 34,913/x
  3. Step 3: Cross multiply
    61,409x = 84,744.42 × 34,913
  4. Step 4: Simplify right side
    61,409x = 2,958,681,935.46
  5. Step 5: Solve for x
    x = 2,958,681,935.46/61,409
  6. Step 6: Final answer
    x = 48,179.94

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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.