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Finding the Fourth Proportional to 210,581.76, 315,874.56 and 77,464.32

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Solution

The fourth proportional to 210,581.76, 315,874.56 and 77,464.32 is: 116,197.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,581.76 : 315,874.56 = 77,464.32 : x
  2. Step 2: Convert to fraction form
    210,581.76/315,874.56 = 77,464.32/x
  3. Step 3: Cross multiply
    210,581.76x = 315,874.56 × 77,464.32
  4. Step 4: Simplify right side
    210,581.76x = 24,469,007,995.70
  5. Step 5: Solve for x
    x = 24,469,007,995.70/210,581.76
  6. Step 6: Final answer
    x = 116,197.19

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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.