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Finding the Fourth Proportional to 71,718.48, 98,975.16 and 39,888

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Solution

The fourth proportional to 71,718.48, 98,975.16 and 39,888 is: 55,047.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,718.48 : 98,975.16 = 39,888 : x
  2. Step 2: Convert to fraction form
    71,718.48/98,975.16 = 39,888/x
  3. Step 3: Cross multiply
    71,718.48x = 98,975.16 × 39,888
  4. Step 4: Simplify right side
    71,718.48x = 3,947,921,182.08
  5. Step 5: Solve for x
    x = 3,947,921,182.08/71,718.48
  6. Step 6: Final answer
    x = 55,047.47

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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.