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Finding the Fourth Proportional to 42,661.68, 63,965.17 and 17,718.95

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Solution

The fourth proportional to 42,661.68, 63,965.17 and 17,718.95 is: 26,567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,661.68 : 63,965.17 = 17,718.95 : x
  2. Step 2: Convert to fraction form
    42,661.68/63,965.17 = 17,718.95/x
  3. Step 3: Cross multiply
    42,661.68x = 63,965.17 × 17,718.95
  4. Step 4: Simplify right side
    42,661.68x = 1,133,395,648.97
  5. Step 5: Solve for x
    x = 1,133,395,648.97/42,661.68
  6. Step 6: Final answer
    x = 26,567.07

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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.