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Finding the Fourth Proportional to 128,846.10, 193,269.15 and 57,768.60

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Solution

The fourth proportional to 128,846.10, 193,269.15 and 57,768.60 is: 86,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,846.10 : 193,269.15 = 57,768.60 : x
  2. Step 2: Convert to fraction form
    128,846.10/193,269.15 = 57,768.60/x
  3. Step 3: Cross multiply
    128,846.10x = 193,269.15 × 57,768.60
  4. Step 4: Simplify right side
    128,846.10x = 11,164,888,218.69
  5. Step 5: Solve for x
    x = 11,164,888,218.69/128,846.10
  6. Step 6: Final answer
    x = 86,652.90

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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.