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Finding the Fourth Proportional to 142,765.60, 214,051.20 and 54,005.80

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Solution

The fourth proportional to 142,765.60, 214,051.20 and 54,005.80 is: 80,971.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,765.60 : 214,051.20 = 54,005.80 : x
  2. Step 2: Convert to fraction form
    142,765.60/214,051.20 = 54,005.80/x
  3. Step 3: Cross multiply
    142,765.60x = 214,051.20 × 54,005.80
  4. Step 4: Simplify right side
    142,765.60x = 11,560,006,296.96
  5. Step 5: Solve for x
    x = 11,560,006,296.96/142,765.60
  6. Step 6: Final answer
    x = 80,971.93

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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.