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Finding the Fourth Proportional to 230,676.16, 318,344.16 and 130,072

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Solution

The fourth proportional to 230,676.16, 318,344.16 and 130,072 is: 179,505.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,676.16 : 318,344.16 = 130,072 : x
  2. Step 2: Convert to fraction form
    230,676.16/318,344.16 = 130,072/x
  3. Step 3: Cross multiply
    230,676.16x = 318,344.16 × 130,072
  4. Step 4: Simplify right side
    230,676.16x = 41,407,661,579.52
  5. Step 5: Solve for x
    x = 41,407,661,579.52/230,676.16
  6. Step 6: Final answer
    x = 179,505.60

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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.