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Finding the Fourth Proportional to 231,760, 319,828.80 and 131,158.24

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Solution

The fourth proportional to 231,760, 319,828.80 and 131,158.24 is: 180,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,760 : 319,828.80 = 131,158.24 : x
  2. Step 2: Convert to fraction form
    231,760/319,828.80 = 131,158.24/x
  3. Step 3: Cross multiply
    231,760x = 319,828.80 × 131,158.24
  4. Step 4: Simplify right side
    231,760x = 41,948,182,509.31
  5. Step 5: Solve for x
    x = 41,948,182,509.31/231,760
  6. Step 6: Final answer
    x = 180,998.37

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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.