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Finding the Fourth Proportional to 71,047.68, 98,045.25 and 39,216.57

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Solution

The fourth proportional to 71,047.68, 98,045.25 and 39,216.57 is: 54,118.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,047.68 : 98,045.25 = 39,216.57 : x
  2. Step 2: Convert to fraction form
    71,047.68/98,045.25 = 39,216.57/x
  3. Step 3: Cross multiply
    71,047.68x = 98,045.25 × 39,216.57
  4. Step 4: Simplify right side
    71,047.68x = 3,844,998,409.79
  5. Step 5: Solve for x
    x = 3,844,998,409.79/71,047.68
  6. Step 6: Final answer
    x = 54,118.56

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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.