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Finding the Fourth Proportional to 230,582, 318,203.16 and 129,980

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Solution

The fourth proportional to 230,582, 318,203.16 and 129,980 is: 179,372.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,582 : 318,203.16 = 129,980 : x
  2. Step 2: Convert to fraction form
    230,582/318,203.16 = 129,980/x
  3. Step 3: Cross multiply
    230,582x = 318,203.16 × 129,980
  4. Step 4: Simplify right side
    230,582x = 41,360,046,736.80
  5. Step 5: Solve for x
    x = 41,360,046,736.80/230,582
  6. Step 6: Final answer
    x = 179,372.40

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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.