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Finding the Fourth Proportional to 142,690.60, 214,035.78 and 49,189

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Solution

The fourth proportional to 142,690.60, 214,035.78 and 49,189 is: 73,783.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,690.60 : 214,035.78 = 49,189 : x
  2. Step 2: Convert to fraction form
    142,690.60/214,035.78 = 49,189/x
  3. Step 3: Cross multiply
    142,690.60x = 214,035.78 × 49,189
  4. Step 4: Simplify right side
    142,690.60x = 10,528,205,982.42
  5. Step 5: Solve for x
    x = 10,528,205,982.42/142,690.60
  6. Step 6: Final answer
    x = 73,783.46

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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.