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Finding the Fourth Proportional to 56,707.50, 78,251.25 and 32,835.78

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Solution

The fourth proportional to 56,707.50, 78,251.25 and 32,835.78 is: 45,310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,707.50 : 78,251.25 = 32,835.78 : x
  2. Step 2: Convert to fraction form
    56,707.50/78,251.25 = 32,835.78/x
  3. Step 3: Cross multiply
    56,707.50x = 78,251.25 × 32,835.78
  4. Step 4: Simplify right side
    56,707.50x = 2,569,440,829.73
  5. Step 5: Solve for x
    x = 2,569,440,829.73/56,707.50
  6. Step 6: Final answer
    x = 45,310.42

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1.5x scale

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.