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Finding the Fourth Proportional to 206,824.79, 310,167.36 and 78,710.67

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Solution

The fourth proportional to 206,824.79, 310,167.36 and 78,710.67 is: 118,039.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,824.79 : 310,167.36 = 78,710.67 : x
  2. Step 2: Convert to fraction form
    206,824.79/310,167.36 = 78,710.67/x
  3. Step 3: Cross multiply
    206,824.79x = 310,167.36 × 78,710.67
  4. Step 4: Simplify right side
    206,824.79x = 24,413,480,717.73
  5. Step 5: Solve for x
    x = 24,413,480,717.73/206,824.79
  6. Step 6: Final answer
    x = 118,039.43

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1.5x scale

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.