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Finding the Fourth Proportional to 231,471.49, 319,302.03 and 134,664.48

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Solution

The fourth proportional to 231,471.49, 319,302.03 and 134,664.48 is: 185,762.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,471.49 : 319,302.03 = 134,664.48 : x
  2. Step 2: Convert to fraction form
    231,471.49/319,302.03 = 134,664.48/x
  3. Step 3: Cross multiply
    231,471.49x = 319,302.03 × 134,664.48
  4. Step 4: Simplify right side
    231,471.49x = 42,998,641,832.89
  5. Step 5: Solve for x
    x = 42,998,641,832.89/231,471.49
  6. Step 6: Final answer
    x = 185,762.15

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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.