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Finding the Fourth Proportional to 90,717, 135,784.35 and 48,491.52

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Solution

The fourth proportional to 90,717, 135,784.35 and 48,491.52 is: 72,581.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,717 : 135,784.35 = 48,491.52 : x
  2. Step 2: Convert to fraction form
    90,717/135,784.35 = 48,491.52/x
  3. Step 3: Cross multiply
    90,717x = 135,784.35 × 48,491.52
  4. Step 4: Simplify right side
    90,717x = 6,584,389,523.71
  5. Step 5: Solve for x
    x = 6,584,389,523.71/90,717
  6. Step 6: Final answer
    x = 72,581.65

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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.