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Finding the Fourth Proportional to 231,693.16, 319,662.21 and 129,703.60

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Solution

The fourth proportional to 231,693.16, 319,662.21 and 129,703.60 is: 178,949.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,693.16 : 319,662.21 = 129,703.60 : x
  2. Step 2: Convert to fraction form
    231,693.16/319,662.21 = 129,703.60/x
  3. Step 3: Cross multiply
    231,693.16x = 319,662.21 × 129,703.60
  4. Step 4: Simplify right side
    231,693.16x = 41,461,339,420.96
  5. Step 5: Solve for x
    x = 41,461,339,420.96/231,693.16
  6. Step 6: Final answer
    x = 178,949.35

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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.