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Finding the Fourth Proportional to 154,311.05, 231,564.99 and 65,564.59

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Solution

The fourth proportional to 154,311.05, 231,564.99 and 65,564.59 is: 98,388.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,311.05 : 231,564.99 = 65,564.59 : x
  2. Step 2: Convert to fraction form
    154,311.05/231,564.99 = 65,564.59/x
  3. Step 3: Cross multiply
    154,311.05x = 231,564.99 × 65,564.59
  4. Step 4: Simplify right side
    154,311.05x = 15,182,463,627.70
  5. Step 5: Solve for x
    x = 15,182,463,627.70/154,311.05
  6. Step 6: Final answer
    x = 98,388.70

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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.