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Finding the Fourth Proportional to 206,688.75, 310,034.81 and 56,937.30

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Solution

The fourth proportional to 206,688.75, 310,034.81 and 56,937.30 is: 85,406.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,688.75 : 310,034.81 = 56,937.30 : x
  2. Step 2: Convert to fraction form
    206,688.75/310,034.81 = 56,937.30/x
  3. Step 3: Cross multiply
    206,688.75x = 310,034.81 × 56,937.30
  4. Step 4: Simplify right side
    206,688.75x = 17,652,544,987.41
  5. Step 5: Solve for x
    x = 17,652,544,987.41/206,688.75
  6. Step 6: Final answer
    x = 85,406.41

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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.