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Finding the Fourth Proportional to 47,757.78, 71,648.82 and 28,053

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Solution

The fourth proportional to 47,757.78, 71,648.82 and 28,053 is: 42,086.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,757.78 : 71,648.82 = 28,053 : x
  2. Step 2: Convert to fraction form
    47,757.78/71,648.82 = 28,053/x
  3. Step 3: Cross multiply
    47,757.78x = 71,648.82 × 28,053
  4. Step 4: Simplify right side
    47,757.78x = 2,009,964,347.46
  5. Step 5: Solve for x
    x = 2,009,964,347.46/47,757.78
  6. Step 6: Final answer
    x = 42,086.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.