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Finding the Fourth Proportional to 230,781.25, 318,478.53 and 130,179.25

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Solution

The fourth proportional to 230,781.25, 318,478.53 and 130,179.25 is: 179,647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,781.25 : 318,478.53 = 130,179.25 : x
  2. Step 2: Convert to fraction form
    230,781.25/318,478.53 = 130,179.25/x
  3. Step 3: Cross multiply
    230,781.25x = 318,478.53 × 130,179.25
  4. Step 4: Simplify right side
    230,781.25x = 41,459,296,176.50
  5. Step 5: Solve for x
    x = 41,459,296,176.50/230,781.25
  6. Step 6: Final answer
    x = 179,647.59

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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.