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Finding the Fourth Proportional to 65,209.80, 97,814.70 and 52,087.80

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Solution

The fourth proportional to 65,209.80, 97,814.70 and 52,087.80 is: 78,131.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,209.80 : 97,814.70 = 52,087.80 : x
  2. Step 2: Convert to fraction form
    65,209.80/97,814.70 = 52,087.80/x
  3. Step 3: Cross multiply
    65,209.80x = 97,814.70 × 52,087.80
  4. Step 4: Simplify right side
    65,209.80x = 5,094,952,530.66
  5. Step 5: Solve for x
    x = 5,094,952,530.66/65,209.80
  6. Step 6: Final answer
    x = 78,131.70

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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.