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Finding the Fourth Proportional to 71,705.88, 98,956.82 and 39,877.07

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Solution

The fourth proportional to 71,705.88, 98,956.82 and 39,877.07 is: 55,031.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,705.88 : 98,956.82 = 39,877.07 : x
  2. Step 2: Convert to fraction form
    71,705.88/98,956.82 = 39,877.07/x
  3. Step 3: Cross multiply
    71,705.88x = 98,956.82 × 39,877.07
  4. Step 4: Simplify right side
    71,705.88x = 3,946,107,643.03
  5. Step 5: Solve for x
    x = 3,946,107,643.03/71,705.88
  6. Step 6: Final answer
    x = 55,031.86

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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.