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Finding the Fourth Proportional to 230,892.90, 346,558.05 and 142,319.40

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Solution

The fourth proportional to 230,892.90, 346,558.05 and 142,319.40 is: 213,613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,892.90 : 346,558.05 = 142,319.40 : x
  2. Step 2: Convert to fraction form
    230,892.90/346,558.05 = 142,319.40/x
  3. Step 3: Cross multiply
    230,892.90x = 346,558.05 × 142,319.40
  4. Step 4: Simplify right side
    230,892.90x = 49,321,933,741.17
  5. Step 5: Solve for x
    x = 49,321,933,741.17/230,892.90
  6. Step 6: Final answer
    x = 213,613.90

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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.