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Finding the Fourth Proportional to 142,709.60, 214,064.40 and 133,961.60

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Solution

The fourth proportional to 142,709.60, 214,064.40 and 133,961.60 is: 200,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,709.60 : 214,064.40 = 133,961.60 : x
  2. Step 2: Convert to fraction form
    142,709.60/214,064.40 = 133,961.60/x
  3. Step 3: Cross multiply
    142,709.60x = 214,064.40 × 133,961.60
  4. Step 4: Simplify right side
    142,709.60x = 28,676,409,527.04
  5. Step 5: Solve for x
    x = 28,676,409,527.04/142,709.60
  6. Step 6: Final answer
    x = 200,942.40

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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.