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Finding the Fourth Proportional to 230,982.42, 346,473.61 and 86,915.31

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Solution

The fourth proportional to 230,982.42, 346,473.61 and 86,915.31 is: 130,372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,982.42 : 346,473.61 = 86,915.31 : x
  2. Step 2: Convert to fraction form
    230,982.42/346,473.61 = 86,915.31/x
  3. Step 3: Cross multiply
    230,982.42x = 346,473.61 × 86,915.31
  4. Step 4: Simplify right side
    230,982.42x = 30,113,861,219.97
  5. Step 5: Solve for x
    x = 30,113,861,219.97/230,982.42
  6. Step 6: Final answer
    x = 130,372.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.