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Finding the Fourth Proportional to 231,715.69, 319,772.51 and 131,113.69

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Solution

The fourth proportional to 231,715.69, 319,772.51 and 131,113.69 is: 180,939.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,715.69 : 319,772.51 = 131,113.69 : x
  2. Step 2: Convert to fraction form
    231,715.69/319,772.51 = 131,113.69/x
  3. Step 3: Cross multiply
    231,715.69x = 319,772.51 × 131,113.69
  4. Step 4: Simplify right side
    231,715.69x = 41,926,552,783.34
  5. Step 5: Solve for x
    x = 41,926,552,783.34/231,715.69
  6. Step 6: Final answer
    x = 180,939.64

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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.