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Finding the Fourth Proportional to 206,851.81, 285,459.37 and 114,979.72

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Solution

The fourth proportional to 206,851.81, 285,459.37 and 114,979.72 is: 158,674.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,851.81 : 285,459.37 = 114,979.72 : x
  2. Step 2: Convert to fraction form
    206,851.81/285,459.37 = 114,979.72/x
  3. Step 3: Cross multiply
    206,851.81x = 285,459.37 × 114,979.72
  4. Step 4: Simplify right side
    206,851.81x = 32,822,038,433.98
  5. Step 5: Solve for x
    x = 32,822,038,433.98/206,851.81
  6. Step 6: Final answer
    x = 158,674.17

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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.