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Finding the Fourth Proportional to 206,615.61, 309,923.21 and 56,856.74

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Solution

The fourth proportional to 206,615.61, 309,923.21 and 56,856.74 is: 85,285.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,615.61 : 309,923.21 = 56,856.74 : x
  2. Step 2: Convert to fraction form
    206,615.61/309,923.21 = 56,856.74/x
  3. Step 3: Cross multiply
    206,615.61x = 309,923.21 × 56,856.74
  4. Step 4: Simplify right side
    206,615.61x = 17,621,221,963.46
  5. Step 5: Solve for x
    x = 17,621,221,963.46/206,615.61
  6. Step 6: Final answer
    x = 85,285.05

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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.