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Finding the Fourth Proportional to 230,577, 318,201.12 and 129,975

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Solution

The fourth proportional to 230,577, 318,201.12 and 129,975 is: 179,368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,577 : 318,201.12 = 129,975 : x
  2. Step 2: Convert to fraction form
    230,577/318,201.12 = 129,975/x
  3. Step 3: Cross multiply
    230,577x = 318,201.12 × 129,975
  4. Step 4: Simplify right side
    230,577x = 41,358,190,572
  5. Step 5: Solve for x
    x = 41,358,190,572/230,577
  6. Step 6: Final answer
    x = 179,368.24

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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.