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Finding the Fourth Proportional to 231,990.61, 320,141.71 and 135,188.30

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Solution

The fourth proportional to 231,990.61, 320,141.71 and 135,188.30 is: 186,556.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,990.61 : 320,141.71 = 135,188.30 : x
  2. Step 2: Convert to fraction form
    231,990.61/320,141.71 = 135,188.30/x
  3. Step 3: Cross multiply
    231,990.61x = 320,141.71 × 135,188.30
  4. Step 4: Simplify right side
    231,990.61x = 43,279,413,533.99
  5. Step 5: Solve for x
    x = 43,279,413,533.99/231,990.61
  6. Step 6: Final answer
    x = 186,556.75

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1.5x scale

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.