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Finding the Fourth Proportional to 90,212, 135,318.56 and 23,651.53

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Solution

The fourth proportional to 90,212, 135,318.56 and 23,651.53 is: 35,477.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,212 : 135,318.56 = 23,651.53 : x
  2. Step 2: Convert to fraction form
    90,212/135,318.56 = 23,651.53/x
  3. Step 3: Cross multiply
    90,212x = 135,318.56 × 23,651.53
  4. Step 4: Simplify right side
    90,212x = 3,200,490,981.40
  5. Step 5: Solve for x
    x = 3,200,490,981.40/90,212
  6. Step 6: Final answer
    x = 35,477.44

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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.