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Finding the Fourth Proportional to 48,931.56, 67,530.78 and 27,711.72

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Solution

The fourth proportional to 48,931.56, 67,530.78 and 27,711.72 is: 38,245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,931.56 : 67,530.78 = 27,711.72 : x
  2. Step 2: Convert to fraction form
    48,931.56/67,530.78 = 27,711.72/x
  3. Step 3: Cross multiply
    48,931.56x = 67,530.78 × 27,711.72
  4. Step 4: Simplify right side
    48,931.56x = 1,871,394,066.74
  5. Step 5: Solve for x
    x = 1,871,394,066.74/48,931.56
  6. Step 6: Final answer
    x = 38,245.13

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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.