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Finding the Fourth Proportional to 199,963, 275,948.87 and 109,319.34

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Solution

The fourth proportional to 199,963, 275,948.87 and 109,319.34 is: 150,860.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,963 : 275,948.87 = 109,319.34 : x
  2. Step 2: Convert to fraction form
    199,963/275,948.87 = 109,319.34/x
  3. Step 3: Cross multiply
    199,963x = 275,948.87 × 109,319.34
  4. Step 4: Simplify right side
    199,963x = 30,166,548,342.15
  5. Step 5: Solve for x
    x = 30,166,548,342.15/199,963
  6. Step 6: Final answer
    x = 150,860.65

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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.