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Finding the Fourth Proportional to 84,919, 117,193.08 and 47,205.40

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Solution

The fourth proportional to 84,919, 117,193.08 and 47,205.40 is: 65,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,919 : 117,193.08 = 47,205.40 : x
  2. Step 2: Convert to fraction form
    84,919/117,193.08 = 47,205.40/x
  3. Step 3: Cross multiply
    84,919x = 117,193.08 × 47,205.40
  4. Step 4: Simplify right side
    84,919x = 5,532,146,218.63
  5. Step 5: Solve for x
    x = 5,532,146,218.63/84,919
  6. Step 6: Final answer
    x = 65,146.15

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1.5x scale

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.