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Finding the Fourth Proportional to 213,912.76, 295,203.12 and 117,115

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Solution

The fourth proportional to 213,912.76, 295,203.12 and 117,115 is: 161,620.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,912.76 : 295,203.12 = 117,115 : x
  2. Step 2: Convert to fraction form
    213,912.76/295,203.12 = 117,115/x
  3. Step 3: Cross multiply
    213,912.76x = 295,203.12 × 117,115
  4. Step 4: Simplify right side
    213,912.76x = 34,572,713,398.80
  5. Step 5: Solve for x
    x = 34,572,713,398.80/213,912.76
  6. Step 6: Final answer
    x = 161,620.62

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1.5x scale

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.