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Finding the Fourth Proportional to 71,689.77, 107,537.22 and 19,099.44

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Solution

The fourth proportional to 71,689.77, 107,537.22 and 19,099.44 is: 28,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,689.77 : 107,537.22 = 19,099.44 : x
  2. Step 2: Convert to fraction form
    71,689.77/107,537.22 = 19,099.44/x
  3. Step 3: Cross multiply
    71,689.77x = 107,537.22 × 19,099.44
  4. Step 4: Simplify right side
    71,689.77x = 2,053,900,681.16
  5. Step 5: Solve for x
    x = 2,053,900,681.16/71,689.77
  6. Step 6: Final answer
    x = 28,649.84

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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.