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Finding the Fourth Proportional to 230,978.67, 346,468 and 73,207.12

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Solution

The fourth proportional to 230,978.67, 346,468 and 73,207.12 is: 109,810.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,978.67 : 346,468 = 73,207.12 : x
  2. Step 2: Convert to fraction form
    230,978.67/346,468 = 73,207.12/x
  3. Step 3: Cross multiply
    230,978.67x = 346,468 × 73,207.12
  4. Step 4: Simplify right side
    230,978.67x = 25,363,924,452.16
  5. Step 5: Solve for x
    x = 25,363,924,452.16/230,978.67
  6. Step 6: Final answer
    x = 109,810.68

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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.