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Finding the Fourth Proportional to 160,969.80, 241,454.70 and 138,808.20

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Solution

The fourth proportional to 160,969.80, 241,454.70 and 138,808.20 is: 208,212.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,969.80 : 241,454.70 = 138,808.20 : x
  2. Step 2: Convert to fraction form
    160,969.80/241,454.70 = 138,808.20/x
  3. Step 3: Cross multiply
    160,969.80x = 241,454.70 × 138,808.20
  4. Step 4: Simplify right side
    160,969.80x = 33,515,892,288.54
  5. Step 5: Solve for x
    x = 33,515,892,288.54/160,969.80
  6. Step 6: Final answer
    x = 208,212.30

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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.