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Finding the Fourth Proportional to 47,070, 70,634.18 and 27,357.84

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Solution

The fourth proportional to 47,070, 70,634.18 and 27,357.84 is: 41,053.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,070 : 70,634.18 = 27,357.84 : x
  2. Step 2: Convert to fraction form
    47,070/70,634.18 = 27,357.84/x
  3. Step 3: Cross multiply
    47,070x = 70,634.18 × 27,357.84
  4. Step 4: Simplify right side
    47,070x = 1,932,398,594.97
  5. Step 5: Solve for x
    x = 1,932,398,594.97/47,070
  6. Step 6: Final answer
    x = 41,053.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.