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Finding the Fourth Proportional to 71,681.71, 98,923.30 and 39,418.78

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Solution

The fourth proportional to 71,681.71, 98,923.30 and 39,418.78 is: 54,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,681.71 : 98,923.30 = 39,418.78 : x
  2. Step 2: Convert to fraction form
    71,681.71/98,923.30 = 39,418.78/x
  3. Step 3: Cross multiply
    71,681.71x = 98,923.30 × 39,418.78
  4. Step 4: Simplify right side
    71,681.71x = 3,899,435,889.18
  5. Step 5: Solve for x
    x = 3,899,435,889.18/71,681.71
  6. Step 6: Final answer
    x = 54,399.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.