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Finding the Fourth Proportional to 143,155.32, 214,793.64 and 76,578

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Solution

The fourth proportional to 143,155.32, 214,793.64 and 76,578 is: 114,899.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,155.32 : 214,793.64 = 76,578 : x
  2. Step 2: Convert to fraction form
    143,155.32/214,793.64 = 76,578/x
  3. Step 3: Cross multiply
    143,155.32x = 214,793.64 × 76,578
  4. Step 4: Simplify right side
    143,155.32x = 16,448,467,363.92
  5. Step 5: Solve for x
    x = 16,448,467,363.92/143,155.32
  6. Step 6: Final answer
    x = 114,899.45

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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.