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Finding the Fourth Proportional to 205,859.94, 308,758.34 and 56,112.28

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Solution

The fourth proportional to 205,859.94, 308,758.34 and 56,112.28 is: 84,159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,859.94 : 308,758.34 = 56,112.28 : x
  2. Step 2: Convert to fraction form
    205,859.94/308,758.34 = 56,112.28/x
  3. Step 3: Cross multiply
    205,859.94x = 308,758.34 × 56,112.28
  4. Step 4: Simplify right side
    205,859.94x = 17,325,134,426.42
  5. Step 5: Solve for x
    x = 17,325,134,426.42/205,859.94
  6. Step 6: Final answer
    x = 84,159.81

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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.