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Finding the Fourth Proportional to 230,532, 345,665.16 and 90,214.08

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Solution

The fourth proportional to 230,532, 345,665.16 and 90,214.08 is: 135,269.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,532 : 345,665.16 = 90,214.08 : x
  2. Step 2: Convert to fraction form
    230,532/345,665.16 = 90,214.08/x
  3. Step 3: Cross multiply
    230,532x = 345,665.16 × 90,214.08
  4. Step 4: Simplify right side
    230,532x = 31,183,864,397.45
  5. Step 5: Solve for x
    x = 31,183,864,397.45/230,532
  6. Step 6: Final answer
    x = 135,269.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.