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Finding the Fourth Proportional to 76,309.80, 114,535.57 and 38,897.97

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Solution

The fourth proportional to 76,309.80, 114,535.57 and 38,897.97 is: 58,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,309.80 : 114,535.57 = 38,897.97 : x
  2. Step 2: Convert to fraction form
    76,309.80/114,535.57 = 38,897.97/x
  3. Step 3: Cross multiply
    76,309.80x = 114,535.57 × 38,897.97
  4. Step 4: Simplify right side
    76,309.80x = 4,455,201,356.24
  5. Step 5: Solve for x
    x = 4,455,201,356.24/76,309.80
  6. Step 6: Final answer
    x = 58,383.09

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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.