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Finding the Fourth Proportional to 45,149.78, 67,731.02 and 18,848.54

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Solution

The fourth proportional to 45,149.78, 67,731.02 and 18,848.54 is: 28,275.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,149.78 : 67,731.02 = 18,848.54 : x
  2. Step 2: Convert to fraction form
    45,149.78/67,731.02 = 18,848.54/x
  3. Step 3: Cross multiply
    45,149.78x = 67,731.02 × 18,848.54
  4. Step 4: Simplify right side
    45,149.78x = 1,276,630,839.71
  5. Step 5: Solve for x
    x = 1,276,630,839.71/45,149.78
  6. Step 6: Final answer
    x = 28,275.46

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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.