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Finding the Fourth Proportional to 77,189.76, 115,599.76 and 49,021.61

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Solution

The fourth proportional to 77,189.76, 115,599.76 and 49,021.61 is: 73,414.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,189.76 : 115,599.76 = 49,021.61 : x
  2. Step 2: Convert to fraction form
    77,189.76/115,599.76 = 49,021.61/x
  3. Step 3: Cross multiply
    77,189.76x = 115,599.76 × 49,021.61
  4. Step 4: Simplify right side
    77,189.76x = 5,666,885,650.26
  5. Step 5: Solve for x
    x = 5,666,885,650.26/77,189.76
  6. Step 6: Final answer
    x = 73,414.99

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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.