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Finding the Fourth Proportional to 65,065.60, 97,817.10 and 55,442.80

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Solution

The fourth proportional to 65,065.60, 97,817.10 and 55,442.80 is: 83,350.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,065.60 : 97,817.10 = 55,442.80 : x
  2. Step 2: Convert to fraction form
    65,065.60/97,817.10 = 55,442.80/x
  3. Step 3: Cross multiply
    65,065.60x = 97,817.10 × 55,442.80
  4. Step 4: Simplify right side
    65,065.60x = 5,423,253,911.88
  5. Step 5: Solve for x
    x = 5,423,253,911.88/65,065.60
  6. Step 6: Final answer
    x = 83,350.56

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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.