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Finding the Fourth Proportional to 231,477.94, 319,451.96 and 129,497.31

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Solution

The fourth proportional to 231,477.94, 319,451.96 and 129,497.31 is: 178,713.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,477.94 : 319,451.96 = 129,497.31 : x
  2. Step 2: Convert to fraction form
    231,477.94/319,451.96 = 129,497.31/x
  3. Step 3: Cross multiply
    231,477.94x = 319,451.96 × 129,497.31
  4. Step 4: Simplify right side
    231,477.94x = 41,368,168,846.74
  5. Step 5: Solve for x
    x = 41,368,168,846.74/231,477.94
  6. Step 6: Final answer
    x = 178,713.23

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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.