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Finding the Fourth Proportional to 71,643.92, 98,869.51 and 39,382.06

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Solution

The fourth proportional to 71,643.92, 98,869.51 and 39,382.06 is: 54,347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,643.92 : 98,869.51 = 39,382.06 : x
  2. Step 2: Convert to fraction form
    71,643.92/98,869.51 = 39,382.06/x
  3. Step 3: Cross multiply
    71,643.92x = 98,869.51 × 39,382.06
  4. Step 4: Simplify right side
    71,643.92x = 3,893,684,974.99
  5. Step 5: Solve for x
    x = 3,893,684,974.99/71,643.92
  6. Step 6: Final answer
    x = 54,347.74

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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.