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Finding the Fourth Proportional to 84,827, 117,066.12 and 47,103.68

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Solution

The fourth proportional to 84,827, 117,066.12 and 47,103.68 is: 65,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,827 : 117,066.12 = 47,103.68 : x
  2. Step 2: Convert to fraction form
    84,827/117,066.12 = 47,103.68/x
  3. Step 3: Cross multiply
    84,827x = 117,066.12 × 47,103.68
  4. Step 4: Simplify right side
    84,827x = 5,514,245,055.32
  5. Step 5: Solve for x
    x = 5,514,245,055.32/84,827
  6. Step 6: Final answer
    x = 65,005.78

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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.