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Finding the Fourth Proportional to 51,199, 70,654.62 and 28,843

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Solution

The fourth proportional to 51,199, 70,654.62 and 28,843 is: 39,803.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,199 : 70,654.62 = 28,843 : x
  2. Step 2: Convert to fraction form
    51,199/70,654.62 = 28,843/x
  3. Step 3: Cross multiply
    51,199x = 70,654.62 × 28,843
  4. Step 4: Simplify right side
    51,199x = 2,037,891,204.66
  5. Step 5: Solve for x
    x = 2,037,891,204.66/51,199
  6. Step 6: Final answer
    x = 39,803.34

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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.