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Finding the Fourth Proportional to 71,643.42, 98,868.82 and 39,381.56

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Solution

The fourth proportional to 71,643.42, 98,868.82 and 39,381.56 is: 54,347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,643.42 : 98,868.82 = 39,381.56 : x
  2. Step 2: Convert to fraction form
    71,643.42/98,868.82 = 39,381.56/x
  3. Step 3: Cross multiply
    71,643.42x = 98,868.82 × 39,381.56
  4. Step 4: Simplify right side
    71,643.42x = 3,893,608,366.96
  5. Step 5: Solve for x
    x = 3,893,608,366.96/71,643.42
  6. Step 6: Final answer
    x = 54,347.05

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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.