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Finding the Fourth Proportional to 71,091, 98,103 and 39,259.80

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Solution

The fourth proportional to 71,091, 98,103 and 39,259.80 is: 54,177.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,091 : 98,103 = 39,259.80 : x
  2. Step 2: Convert to fraction form
    71,091/98,103 = 39,259.80/x
  3. Step 3: Cross multiply
    71,091x = 98,103 × 39,259.80
  4. Step 4: Simplify right side
    71,091x = 3,851,504,159.40
  5. Step 5: Solve for x
    x = 3,851,504,159.40/71,091
  6. Step 6: Final answer
    x = 54,177.10

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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.