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Finding the Fourth Proportional to 231,395.70, 319,323.92 and 129,419.94

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Solution

The fourth proportional to 231,395.70, 319,323.92 and 129,419.94 is: 178,598.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,395.70 : 319,323.92 = 129,419.94 : x
  2. Step 2: Convert to fraction form
    231,395.70/319,323.92 = 129,419.94/x
  3. Step 3: Cross multiply
    231,395.70x = 319,323.92 × 129,419.94
  4. Step 4: Simplify right side
    231,395.70x = 41,326,882,566.96
  5. Step 5: Solve for x
    x = 41,326,882,566.96/231,395.70
  6. Step 6: Final answer
    x = 178,598.32

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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.