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Finding the Fourth Proportional to 71,538, 107,309.02 and 18,947.52

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Solution

The fourth proportional to 71,538, 107,309.02 and 18,947.52 is: 28,421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,538 : 107,309.02 = 18,947.52 : x
  2. Step 2: Convert to fraction form
    71,538/107,309.02 = 18,947.52/x
  3. Step 3: Cross multiply
    71,538x = 107,309.02 × 18,947.52
  4. Step 4: Simplify right side
    71,538x = 2,033,239,802.63
  5. Step 5: Solve for x
    x = 2,033,239,802.63/71,538
  6. Step 6: Final answer
    x = 28,421.82

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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.