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Finding the Fourth Proportional to 51,209, 70,672.02 and 28,853

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Solution

The fourth proportional to 51,209, 70,672.02 and 28,853 is: 39,819.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,209 : 70,672.02 = 28,853 : x
  2. Step 2: Convert to fraction form
    51,209/70,672.02 = 28,853/x
  3. Step 3: Cross multiply
    51,209x = 70,672.02 × 28,853
  4. Step 4: Simplify right side
    51,209x = 2,039,099,793.06
  5. Step 5: Solve for x
    x = 2,039,099,793.06/51,209
  6. Step 6: Final answer
    x = 39,819.17

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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.