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Finding the Fourth Proportional to 128,908.80, 193,285.44 and 57,818.48

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Solution

The fourth proportional to 128,908.80, 193,285.44 and 57,818.48 is: 86,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,908.80 : 193,285.44 = 57,818.48 : x
  2. Step 2: Convert to fraction form
    128,908.80/193,285.44 = 57,818.48/x
  3. Step 3: Cross multiply
    128,908.80x = 193,285.44 × 57,818.48
  4. Step 4: Simplify right side
    128,908.80x = 11,175,470,346.93
  5. Step 5: Solve for x
    x = 11,175,470,346.93/128,908.80
  6. Step 6: Final answer
    x = 86,692.84

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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.