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Finding the Fourth Proportional to 250,117, 345,194.40 and 142,662.40

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Solution

The fourth proportional to 250,117, 345,194.40 and 142,662.40 is: 196,892.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,117 : 345,194.40 = 142,662.40 : x
  2. Step 2: Convert to fraction form
    250,117/345,194.40 = 142,662.40/x
  3. Step 3: Cross multiply
    250,117x = 345,194.40 × 142,662.40
  4. Step 4: Simplify right side
    250,117x = 49,246,261,570.56
  5. Step 5: Solve for x
    x = 49,246,261,570.56/250,117
  6. Step 6: Final answer
    x = 196,892.90

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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.