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Finding the Fourth Proportional to 206,701.29, 310,047.08 and 56,940.39

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Solution

The fourth proportional to 206,701.29, 310,047.08 and 56,940.39 is: 85,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,701.29 : 310,047.08 = 56,940.39 : x
  2. Step 2: Convert to fraction form
    206,701.29/310,047.08 = 56,940.39/x
  3. Step 3: Cross multiply
    206,701.29x = 310,047.08 × 56,940.39
  4. Step 4: Simplify right side
    206,701.29x = 17,654,201,368.86
  5. Step 5: Solve for x
    x = 17,654,201,368.86/206,701.29
  6. Step 6: Final answer
    x = 85,409.25

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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.