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Finding the Fourth Proportional to 42,868.80, 64,293.12 and 11,696.64

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Solution

The fourth proportional to 42,868.80, 64,293.12 and 11,696.64 is: 17,542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,868.80 : 64,293.12 = 11,696.64 : x
  2. Step 2: Convert to fraction form
    42,868.80/64,293.12 = 11,696.64/x
  3. Step 3: Cross multiply
    42,868.80x = 64,293.12 × 11,696.64
  4. Step 4: Simplify right side
    42,868.80x = 752,013,479.12
  5. Step 5: Solve for x
    x = 752,013,479.12/42,868.80
  6. Step 6: Final answer
    x = 17,542.21

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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.