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Finding the Fourth Proportional to 36,455.50, 50,308.59 and 19,688.50

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Solution

The fourth proportional to 36,455.50, 50,308.59 and 19,688.50 is: 27,170.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,455.50 : 50,308.59 = 19,688.50 : x
  2. Step 2: Convert to fraction form
    36,455.50/50,308.59 = 19,688.50/x
  3. Step 3: Cross multiply
    36,455.50x = 50,308.59 × 19,688.50
  4. Step 4: Simplify right side
    36,455.50x = 990,500,674.22
  5. Step 5: Solve for x
    x = 990,500,674.22/36,455.50
  6. Step 6: Final answer
    x = 27,170.13

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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.