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Finding the Fourth Proportional to 143,257.91, 214,591.55 and 83,913.66

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Solution

The fourth proportional to 143,257.91, 214,591.55 and 83,913.66 is: 125,697.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,257.91 : 214,591.55 = 83,913.66 : x
  2. Step 2: Convert to fraction form
    143,257.91/214,591.55 = 83,913.66/x
  3. Step 3: Cross multiply
    143,257.91x = 214,591.55 × 83,913.66
  4. Step 4: Simplify right side
    143,257.91x = 18,007,161,946.00
  5. Step 5: Solve for x
    x = 18,007,161,946.00/143,257.91
  6. Step 6: Final answer
    x = 125,697.51

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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.