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Finding the Fourth Proportional to 42,689.97, 64,025.78 and 12,696.99

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Solution

The fourth proportional to 42,689.97, 64,025.78 and 12,696.99 is: 19,042.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,689.97 : 64,025.78 = 12,696.99 : x
  2. Step 2: Convert to fraction form
    42,689.97/64,025.78 = 12,696.99/x
  3. Step 3: Cross multiply
    42,689.97x = 64,025.78 × 12,696.99
  4. Step 4: Simplify right side
    42,689.97x = 812,934,720.14
  5. Step 5: Solve for x
    x = 812,934,720.14/42,689.97
  6. Step 6: Final answer
    x = 19,042.76

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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.