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Finding the Fourth Proportional to 77,187, 115,780.50 and 18,819

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Solution

The fourth proportional to 77,187, 115,780.50 and 18,819 is: 28,228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,187 : 115,780.50 = 18,819 : x
  2. Step 2: Convert to fraction form
    77,187/115,780.50 = 18,819/x
  3. Step 3: Cross multiply
    77,187x = 115,780.50 × 18,819
  4. Step 4: Simplify right side
    77,187x = 2,178,873,229.50
  5. Step 5: Solve for x
    x = 2,178,873,229.50/77,187
  6. Step 6: Final answer
    x = 28,228.50

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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.