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Finding the Fourth Proportional to 77,045.38, 115,408.87 and 45,357.82

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Solution

The fourth proportional to 77,045.38, 115,408.87 and 45,357.82 is: 67,943.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,045.38 : 115,408.87 = 45,357.82 : x
  2. Step 2: Convert to fraction form
    77,045.38/115,408.87 = 45,357.82/x
  3. Step 3: Cross multiply
    77,045.38x = 115,408.87 × 45,357.82
  4. Step 4: Simplify right side
    77,045.38x = 5,234,694,349.95
  5. Step 5: Solve for x
    x = 5,234,694,349.95/77,045.38
  6. Step 6: Final answer
    x = 67,943.00

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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.