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Finding the Fourth Proportional to 37,129.50, 51,239.25 and 20,362.50

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Solution

The fourth proportional to 37,129.50, 51,239.25 and 20,362.50 is: 28,100.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,129.50 : 51,239.25 = 20,362.50 : x
  2. Step 2: Convert to fraction form
    37,129.50/51,239.25 = 20,362.50/x
  3. Step 3: Cross multiply
    37,129.50x = 51,239.25 × 20,362.50
  4. Step 4: Simplify right side
    37,129.50x = 1,043,359,228.13
  5. Step 5: Solve for x
    x = 1,043,359,228.13/37,129.50
  6. Step 6: Final answer
    x = 28,100.55

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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.