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Finding the Fourth Proportional to 231,854.54, 319,828.50 and 135,046.98

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Solution

The fourth proportional to 231,854.54, 319,828.50 and 135,046.98 is: 186,288.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,854.54 : 319,828.50 = 135,046.98 : x
  2. Step 2: Convert to fraction form
    231,854.54/319,828.50 = 135,046.98/x
  3. Step 3: Cross multiply
    231,854.54x = 319,828.50 × 135,046.98
  4. Step 4: Simplify right side
    231,854.54x = 43,191,873,042.93
  5. Step 5: Solve for x
    x = 43,191,873,042.93/231,854.54
  6. Step 6: Final answer
    x = 186,288.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.