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Finding the Fourth Proportional to 90,408, 135,593.47 and 34,228.77

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Solution

The fourth proportional to 90,408, 135,593.47 and 34,228.77 is: 51,336.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,408 : 135,593.47 = 34,228.77 : x
  2. Step 2: Convert to fraction form
    90,408/135,593.47 = 34,228.77/x
  3. Step 3: Cross multiply
    90,408x = 135,593.47 × 34,228.77
  4. Step 4: Simplify right side
    90,408x = 4,641,197,698.13
  5. Step 5: Solve for x
    x = 4,641,197,698.13/90,408
  6. Step 6: Final answer
    x = 51,336.14

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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.