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Finding the Fourth Proportional to 36,985.50, 51,039.99 and 20,218.50

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Solution

The fourth proportional to 36,985.50, 51,039.99 and 20,218.50 is: 27,901.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,985.50 : 51,039.99 = 20,218.50 : x
  2. Step 2: Convert to fraction form
    36,985.50/51,039.99 = 20,218.50/x
  3. Step 3: Cross multiply
    36,985.50x = 51,039.99 × 20,218.50
  4. Step 4: Simplify right side
    36,985.50x = 1,031,952,037.82
  5. Step 5: Solve for x
    x = 1,031,952,037.82/36,985.50
  6. Step 6: Final answer
    x = 27,901.53

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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.