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Finding the Fourth Proportional to 133,052.88, 199,579.32 and 77,610

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Solution

The fourth proportional to 133,052.88, 199,579.32 and 77,610 is: 116,415

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,052.88 : 199,579.32 = 77,610 : x
  2. Step 2: Convert to fraction form
    133,052.88/199,579.32 = 77,610/x
  3. Step 3: Cross multiply
    133,052.88x = 199,579.32 × 77,610
  4. Step 4: Simplify right side
    133,052.88x = 15,489,351,025.20
  5. Step 5: Solve for x
    x = 15,489,351,025.20/133,052.88
  6. Step 6: Final answer
    x = 116,415

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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.