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Finding the Fourth Proportional to 71,209.84, 98,264.73 and 39,378.46

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Solution

The fourth proportional to 71,209.84, 98,264.73 and 39,378.46 is: 54,339.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,209.84 : 98,264.73 = 39,378.46 : x
  2. Step 2: Convert to fraction form
    71,209.84/98,264.73 = 39,378.46/x
  3. Step 3: Cross multiply
    71,209.84x = 98,264.73 × 39,378.46
  4. Step 4: Simplify right side
    71,209.84x = 3,869,513,739.72
  5. Step 5: Solve for x
    x = 3,869,513,739.72/71,209.84
  6. Step 6: Final answer
    x = 54,339.59

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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.