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Finding the Fourth Proportional to 231,761.76, 319,835.76 and 151,240.80

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Solution

The fourth proportional to 231,761.76, 319,835.76 and 151,240.80 is: 208,715.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,761.76 : 319,835.76 = 151,240.80 : x
  2. Step 2: Convert to fraction form
    231,761.76/319,835.76 = 151,240.80/x
  3. Step 3: Cross multiply
    231,761.76x = 319,835.76 × 151,240.80
  4. Step 4: Simplify right side
    231,761.76x = 48,372,216,211.01
  5. Step 5: Solve for x
    x = 48,372,216,211.01/231,761.76
  6. Step 6: Final answer
    x = 208,715.26

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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.