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Finding the Fourth Proportional to 208,279.85, 287,426.34 and 112,786.62

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Solution

The fourth proportional to 208,279.85, 287,426.34 and 112,786.62 is: 155,645.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,279.85 : 287,426.34 = 112,786.62 : x
  2. Step 2: Convert to fraction form
    208,279.85/287,426.34 = 112,786.62/x
  3. Step 3: Cross multiply
    208,279.85x = 287,426.34 × 112,786.62
  4. Step 4: Simplify right side
    208,279.85x = 32,417,843,386.51
  5. Step 5: Solve for x
    x = 32,417,843,386.51/208,279.85
  6. Step 6: Final answer
    x = 155,645.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.