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Finding the Fourth Proportional to 161,158.20, 241,445.70 and 137,830.20

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Solution

The fourth proportional to 161,158.20, 241,445.70 and 137,830.20 is: 206,495.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,158.20 : 241,445.70 = 137,830.20 : x
  2. Step 2: Convert to fraction form
    161,158.20/241,445.70 = 137,830.20/x
  3. Step 3: Cross multiply
    161,158.20x = 241,445.70 × 137,830.20
  4. Step 4: Simplify right side
    161,158.20x = 33,278,509,120.14
  5. Step 5: Solve for x
    x = 33,278,509,120.14/161,158.20
  6. Step 6: Final answer
    x = 206,495.91

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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.