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Finding the Fourth Proportional to 51,228, 70,695.72 and 28,872

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Solution

The fourth proportional to 51,228, 70,695.72 and 28,872 is: 39,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,228 : 70,695.72 = 28,872 : x
  2. Step 2: Convert to fraction form
    51,228/70,695.72 = 28,872/x
  3. Step 3: Cross multiply
    51,228x = 70,695.72 × 28,872
  4. Step 4: Simplify right side
    51,228x = 2,041,126,827.84
  5. Step 5: Solve for x
    x = 2,041,126,827.84/51,228
  6. Step 6: Final answer
    x = 39,843.97

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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.