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Finding the Fourth Proportional to 230,731.92, 346,153.58 and 86,638.92

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Solution

The fourth proportional to 230,731.92, 346,153.58 and 86,638.92 is: 129,979.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,731.92 : 346,153.58 = 86,638.92 : x
  2. Step 2: Convert to fraction form
    230,731.92/346,153.58 = 86,638.92/x
  3. Step 3: Cross multiply
    230,731.92x = 346,153.58 × 86,638.92
  4. Step 4: Simplify right side
    230,731.92x = 29,990,370,675.29
  5. Step 5: Solve for x
    x = 29,990,370,675.29/230,731.92
  6. Step 6: Final answer
    x = 129,979.29

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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.