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Finding the Fourth Proportional to 47,087, 64,985.82 and 27,215

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Solution

The fourth proportional to 47,087, 64,985.82 and 27,215 is: 37,560.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,087 : 64,985.82 = 27,215 : x
  2. Step 2: Convert to fraction form
    47,087/64,985.82 = 27,215/x
  3. Step 3: Cross multiply
    47,087x = 64,985.82 × 27,215
  4. Step 4: Simplify right side
    47,087x = 1,768,589,091.30
  5. Step 5: Solve for x
    x = 1,768,589,091.30/47,087
  6. Step 6: Final answer
    x = 37,560.03

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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.