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Finding the Fourth Proportional to 71,314.65, 98,309.39 and 54,289.22

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Solution

The fourth proportional to 71,314.65, 98,309.39 and 54,289.22 is: 74,839.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,314.65 : 98,309.39 = 54,289.22 : x
  2. Step 2: Convert to fraction form
    71,314.65/98,309.39 = 54,289.22/x
  3. Step 3: Cross multiply
    71,314.65x = 98,309.39 × 54,289.22
  4. Step 4: Simplify right side
    71,314.65x = 5,337,139,338.78
  5. Step 5: Solve for x
    x = 5,337,139,338.78/71,314.65
  6. Step 6: Final answer
    x = 74,839.31

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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.