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Finding the Fourth Proportional to 71,648.98, 98,704.70 and 50,098.40

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Solution

The fourth proportional to 71,648.98, 98,704.70 and 50,098.40 is: 69,016.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,648.98 : 98,704.70 = 50,098.40 : x
  2. Step 2: Convert to fraction form
    71,648.98/98,704.70 = 50,098.40/x
  3. Step 3: Cross multiply
    71,648.98x = 98,704.70 × 50,098.40
  4. Step 4: Simplify right side
    71,648.98x = 4,944,947,045.23
  5. Step 5: Solve for x
    x = 4,944,947,045.23/71,648.98
  6. Step 6: Final answer
    x = 69,016.30

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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.