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Finding the Fourth Proportional to 128,861.15, 193,214.02 and 57,770.91

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Solution

The fourth proportional to 128,861.15, 193,214.02 and 57,770.91 is: 86,621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,861.15 : 193,214.02 = 57,770.91 : x
  2. Step 2: Convert to fraction form
    128,861.15/193,214.02 = 57,770.91/x
  3. Step 3: Cross multiply
    128,861.15x = 193,214.02 × 57,770.91
  4. Step 4: Simplify right side
    128,861.15x = 11,162,150,098.77
  5. Step 5: Solve for x
    x = 11,162,150,098.77/128,861.15
  6. Step 6: Final answer
    x = 86,621.53

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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.