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Finding the Fourth Proportional to 68,071.24, 102,002.90 and 28,606.78

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Solution

The fourth proportional to 68,071.24, 102,002.90 and 28,606.78 is: 42,866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,071.24 : 102,002.90 = 28,606.78 : x
  2. Step 2: Convert to fraction form
    68,071.24/102,002.90 = 28,606.78/x
  3. Step 3: Cross multiply
    68,071.24x = 102,002.90 × 28,606.78
  4. Step 4: Simplify right side
    68,071.24x = 2,917,974,519.66
  5. Step 5: Solve for x
    x = 2,917,974,519.66/68,071.24
  6. Step 6: Final answer
    x = 42,866.48

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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.