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Finding the Fourth Proportional to 230,666.56, 318,324 and 135,200.32

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Solution

The fourth proportional to 230,666.56, 318,324 and 135,200.32 is: 186,578.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,666.56 : 318,324 = 135,200.32 : x
  2. Step 2: Convert to fraction form
    230,666.56/318,324 = 135,200.32/x
  3. Step 3: Cross multiply
    230,666.56x = 318,324 × 135,200.32
  4. Step 4: Simplify right side
    230,666.56x = 43,037,506,663.68
  5. Step 5: Solve for x
    x = 43,037,506,663.68/230,666.56
  6. Step 6: Final answer
    x = 186,578.87

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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.