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Finding the Fourth Proportional to 71,718.42, 98,968.75 and 39,886.64

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Solution

The fourth proportional to 71,718.42, 98,968.75 and 39,886.64 is: 55,042.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,718.42 : 98,968.75 = 39,886.64 : x
  2. Step 2: Convert to fraction form
    71,718.42/98,968.75 = 39,886.64/x
  3. Step 3: Cross multiply
    71,718.42x = 98,968.75 × 39,886.64
  4. Step 4: Simplify right side
    71,718.42x = 3,947,530,407.66
  5. Step 5: Solve for x
    x = 3,947,530,407.66/71,718.42
  6. Step 6: Final answer
    x = 55,042.07

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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.