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Finding the Fourth Proportional to 71,649.58, 107,474 and 18,341.46

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Solution

The fourth proportional to 71,649.58, 107,474 and 18,341.46 is: 27,512.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,649.58 : 107,474 = 18,341.46 : x
  2. Step 2: Convert to fraction form
    71,649.58/107,474 = 18,341.46/x
  3. Step 3: Cross multiply
    71,649.58x = 107,474 × 18,341.46
  4. Step 4: Simplify right side
    71,649.58x = 1,971,230,072.04
  5. Step 5: Solve for x
    x = 1,971,230,072.04/71,649.58
  6. Step 6: Final answer
    x = 27,512.10

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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.