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Finding the Fourth Proportional to 230,971, 318,740 and 130,375.48

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Solution

The fourth proportional to 230,971, 318,740 and 130,375.48 is: 179,918.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,971 : 318,740 = 130,375.48 : x
  2. Step 2: Convert to fraction form
    230,971/318,740 = 130,375.48/x
  3. Step 3: Cross multiply
    230,971x = 318,740 × 130,375.48
  4. Step 4: Simplify right side
    230,971x = 41,555,880,495.20
  5. Step 5: Solve for x
    x = 41,555,880,495.20/230,971
  6. Step 6: Final answer
    x = 179,918.17

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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.