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Finding the Fourth Proportional to 128,678.29, 192,939.52 and 57,587.69

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Solution

The fourth proportional to 128,678.29, 192,939.52 and 57,587.69 is: 86,346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,678.29 : 192,939.52 = 57,587.69 : x
  2. Step 2: Convert to fraction form
    128,678.29/192,939.52 = 57,587.69/x
  3. Step 3: Cross multiply
    128,678.29x = 192,939.52 × 57,587.69
  4. Step 4: Simplify right side
    128,678.29x = 11,110,940,157.84
  5. Step 5: Solve for x
    x = 11,110,940,157.84/128,678.29
  6. Step 6: Final answer
    x = 86,346.66

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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.