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Finding the Fourth Proportional to 97,859.50, 135,046.20 and 53,147.50

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Solution

The fourth proportional to 97,859.50, 135,046.20 and 53,147.50 is: 73,343.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,859.50 : 135,046.20 = 53,147.50 : x
  2. Step 2: Convert to fraction form
    97,859.50/135,046.20 = 53,147.50/x
  3. Step 3: Cross multiply
    97,859.50x = 135,046.20 × 53,147.50
  4. Step 4: Simplify right side
    97,859.50x = 7,177,367,914.50
  5. Step 5: Solve for x
    x = 7,177,367,914.50/97,859.50
  6. Step 6: Final answer
    x = 73,343.60

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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.