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Finding the Fourth Proportional to 45,542.72, 68,342.88 and 17,840

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Solution

The fourth proportional to 45,542.72, 68,342.88 and 17,840 is: 26,771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,542.72 : 68,342.88 = 17,840 : x
  2. Step 2: Convert to fraction form
    45,542.72/68,342.88 = 17,840/x
  3. Step 3: Cross multiply
    45,542.72x = 68,342.88 × 17,840
  4. Step 4: Simplify right side
    45,542.72x = 1,219,236,979.20
  5. Step 5: Solve for x
    x = 1,219,236,979.20/45,542.72
  6. Step 6: Final answer
    x = 26,771.28

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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.