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Finding the Fourth Proportional to 152,212.60, 228,318.90 and 82,228.60

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Solution

The fourth proportional to 152,212.60, 228,318.90 and 82,228.60 is: 123,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,212.60 : 228,318.90 = 82,228.60 : x
  2. Step 2: Convert to fraction form
    152,212.60/228,318.90 = 82,228.60/x
  3. Step 3: Cross multiply
    152,212.60x = 228,318.90 × 82,228.60
  4. Step 4: Simplify right side
    152,212.60x = 18,774,343,500.54
  5. Step 5: Solve for x
    x = 18,774,343,500.54/152,212.60
  6. Step 6: Final answer
    x = 123,342.90

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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.