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Finding the Fourth Proportional to 68,462.28, 102,649.46 and 28,508.96

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Solution

The fourth proportional to 68,462.28, 102,649.46 and 28,508.96 is: 42,745.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,462.28 : 102,649.46 = 28,508.96 : x
  2. Step 2: Convert to fraction form
    68,462.28/102,649.46 = 28,508.96/x
  3. Step 3: Cross multiply
    68,462.28x = 102,649.46 × 28,508.96
  4. Step 4: Simplify right side
    68,462.28x = 2,926,429,349.16
  5. Step 5: Solve for x
    x = 2,926,429,349.16/68,462.28
  6. Step 6: Final answer
    x = 42,745.13

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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.