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Finding the Fourth Proportional to 281,056.77, 387,854.11 and 167,857.65

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Solution

The fourth proportional to 281,056.77, 387,854.11 and 167,857.65 is: 231,641.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,056.77 : 387,854.11 = 167,857.65 : x
  2. Step 2: Convert to fraction form
    281,056.77/387,854.11 = 167,857.65/x
  3. Step 3: Cross multiply
    281,056.77x = 387,854.11 × 167,857.65
  4. Step 4: Simplify right side
    281,056.77x = 65,104,279,447.44
  5. Step 5: Solve for x
    x = 65,104,279,447.44/281,056.77
  6. Step 6: Final answer
    x = 231,641.03

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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.