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Finding the Fourth Proportional to 231,636.40, 319,643.42 and 129,644.71

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Solution

The fourth proportional to 231,636.40, 319,643.42 and 129,644.71 is: 178,901.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,636.40 : 319,643.42 = 129,644.71 : x
  2. Step 2: Convert to fraction form
    231,636.40/319,643.42 = 129,644.71/x
  3. Step 3: Cross multiply
    231,636.40x = 319,643.42 × 129,644.71
  4. Step 4: Simplify right side
    231,636.40x = 41,440,077,041.98
  5. Step 5: Solve for x
    x = 41,440,077,041.98/231,636.40
  6. Step 6: Final answer
    x = 178,901.41

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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.