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Finding the Fourth Proportional to 90,594.90, 135,826.68 and 45,643.92

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Solution

The fourth proportional to 90,594.90, 135,826.68 and 45,643.92 is: 68,432.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,594.90 : 135,826.68 = 45,643.92 : x
  2. Step 2: Convert to fraction form
    90,594.90/135,826.68 = 45,643.92/x
  3. Step 3: Cross multiply
    90,594.90x = 135,826.68 × 45,643.92
  4. Step 4: Simplify right side
    90,594.90x = 6,199,662,115.79
  5. Step 5: Solve for x
    x = 6,199,662,115.79/90,594.90
  6. Step 6: Final answer
    x = 68,432.79

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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.