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Finding the Fourth Proportional to 142,808.20, 214,212.30 and 109,630.60

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Solution

The fourth proportional to 142,808.20, 214,212.30 and 109,630.60 is: 164,445.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,808.20 : 214,212.30 = 109,630.60 : x
  2. Step 2: Convert to fraction form
    142,808.20/214,212.30 = 109,630.60/x
  3. Step 3: Cross multiply
    142,808.20x = 214,212.30 × 109,630.60
  4. Step 4: Simplify right side
    142,808.20x = 23,484,222,976.38
  5. Step 5: Solve for x
    x = 23,484,222,976.38/142,808.20
  6. Step 6: Final answer
    x = 164,445.90

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1.5x scale

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.