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Finding the Fourth Proportional to 84,920, 117,189.68 and 47,197.76

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Solution

The fourth proportional to 84,920, 117,189.68 and 47,197.76 is: 65,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,920 : 117,189.68 = 47,197.76 : x
  2. Step 2: Convert to fraction form
    84,920/117,189.68 = 47,197.76/x
  3. Step 3: Cross multiply
    84,920x = 117,189.68 × 47,197.76
  4. Step 4: Simplify right side
    84,920x = 5,531,090,391.12
  5. Step 5: Solve for x
    x = 5,531,090,391.12/84,920
  6. Step 6: Final answer
    x = 65,132.95

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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.