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Finding the Fourth Proportional to 47,081, 64,977.54 and 27,209

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Solution

The fourth proportional to 47,081, 64,977.54 and 27,209 is: 37,551.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,081 : 64,977.54 = 27,209 : x
  2. Step 2: Convert to fraction form
    47,081/64,977.54 = 27,209/x
  3. Step 3: Cross multiply
    47,081x = 64,977.54 × 27,209
  4. Step 4: Simplify right side
    47,081x = 1,767,973,885.86
  5. Step 5: Solve for x
    x = 1,767,973,885.86/47,081
  6. Step 6: Final answer
    x = 37,551.75

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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.