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Finding the Fourth Proportional to 71,707.88, 98,977.71 and 47,834.49

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Solution

The fourth proportional to 71,707.88, 98,977.71 and 47,834.49 is: 66,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,707.88 : 98,977.71 = 47,834.49 : x
  2. Step 2: Convert to fraction form
    71,707.88/98,977.71 = 47,834.49/x
  3. Step 3: Cross multiply
    71,707.88x = 98,977.71 × 47,834.49
  4. Step 4: Simplify right side
    71,707.88x = 4,734,548,279.22
  5. Step 5: Solve for x
    x = 4,734,548,279.22/71,707.88
  6. Step 6: Final answer
    x = 66,025.50

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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.