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Finding the Fourth Proportional to 65,351.80, 97,784.70 and 47,855.80

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Solution

The fourth proportional to 65,351.80, 97,784.70 and 47,855.80 is: 71,605.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,351.80 : 97,784.70 = 47,855.80 : x
  2. Step 2: Convert to fraction form
    65,351.80/97,784.70 = 47,855.80/x
  3. Step 3: Cross multiply
    65,351.80x = 97,784.70 × 47,855.80
  4. Step 4: Simplify right side
    65,351.80x = 4,679,565,046.26
  5. Step 5: Solve for x
    x = 4,679,565,046.26/65,351.80
  6. Step 6: Final answer
    x = 71,605.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.