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Finding the Fourth Proportional to 142,740.60, 214,046.10 and 53,964.60

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Solution

The fourth proportional to 142,740.60, 214,046.10 and 53,964.60 is: 80,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,740.60 : 214,046.10 = 53,964.60 : x
  2. Step 2: Convert to fraction form
    142,740.60/214,046.10 = 53,964.60/x
  3. Step 3: Cross multiply
    142,740.60x = 214,046.10 × 53,964.60
  4. Step 4: Simplify right side
    142,740.60x = 11,550,912,168.06
  5. Step 5: Solve for x
    x = 11,550,912,168.06/142,740.60
  6. Step 6: Final answer
    x = 80,922.40

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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.