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Finding the Fourth Proportional to 71,647.58, 107,471 and 18,339.46

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Solution

The fourth proportional to 71,647.58, 107,471 and 18,339.46 is: 27,509.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,647.58 : 107,471 = 18,339.46 : x
  2. Step 2: Convert to fraction form
    71,647.58/107,471 = 18,339.46/x
  3. Step 3: Cross multiply
    71,647.58x = 107,471 × 18,339.46
  4. Step 4: Simplify right side
    71,647.58x = 1,970,960,105.66
  5. Step 5: Solve for x
    x = 1,970,960,105.66/71,647.58
  6. Step 6: Final answer
    x = 27,509.10

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1.5x scale

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.