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Finding the Fourth Proportional to 199,507.50, 299,317.50 and 81,263.70

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Solution

The fourth proportional to 199,507.50, 299,317.50 and 81,263.70 is: 121,918.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,507.50 : 299,317.50 = 81,263.70 : x
  2. Step 2: Convert to fraction form
    199,507.50/299,317.50 = 81,263.70/x
  3. Step 3: Cross multiply
    199,507.50x = 299,317.50 × 81,263.70
  4. Step 4: Simplify right side
    199,507.50x = 24,323,647,524.75
  5. Step 5: Solve for x
    x = 24,323,647,524.75/199,507.50
  6. Step 6: Final answer
    x = 121,918.46

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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.