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Finding the Fourth Proportional to 216,560.61, 324,923.88 and 90,166.90

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Solution

The fourth proportional to 216,560.61, 324,923.88 and 90,166.90 is: 135,284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,560.61 : 324,923.88 = 90,166.90 : x
  2. Step 2: Convert to fraction form
    216,560.61/324,923.88 = 90,166.90/x
  3. Step 3: Cross multiply
    216,560.61x = 324,923.88 × 90,166.90
  4. Step 4: Simplify right side
    216,560.61x = 29,297,377,963.18
  5. Step 5: Solve for x
    x = 29,297,377,963.18/216,560.61
  6. Step 6: Final answer
    x = 135,284.89

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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.