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Finding the Fourth Proportional to 75,578.60, 113,305.82 and 51,820.52

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Solution

The fourth proportional to 75,578.60, 113,305.82 and 51,820.52 is: 77,688.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,578.60 : 113,305.82 = 51,820.52 : x
  2. Step 2: Convert to fraction form
    75,578.60/113,305.82 = 51,820.52/x
  3. Step 3: Cross multiply
    75,578.60x = 113,305.82 × 51,820.52
  4. Step 4: Simplify right side
    75,578.60x = 5,871,566,511.43
  5. Step 5: Solve for x
    x = 5,871,566,511.43/75,578.60
  6. Step 6: Final answer
    x = 77,688.21

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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.