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Finding the Fourth Proportional to 154,359.69, 231,591.98 and 83,289.07

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Solution

The fourth proportional to 154,359.69, 231,591.98 and 83,289.07 is: 124,961.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,359.69 : 231,591.98 = 83,289.07 : x
  2. Step 2: Convert to fraction form
    154,359.69/231,591.98 = 83,289.07/x
  3. Step 3: Cross multiply
    154,359.69x = 231,591.98 × 83,289.07
  4. Step 4: Simplify right side
    154,359.69x = 19,289,080,633.66
  5. Step 5: Solve for x
    x = 19,289,080,633.66/154,359.69
  6. Step 6: Final answer
    x = 124,961.90

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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.