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Finding the Fourth Proportional to 77,687.59, 107,205.44 and 47,523.55

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Solution

The fourth proportional to 77,687.59, 107,205.44 and 47,523.55 is: 65,580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,687.59 : 107,205.44 = 47,523.55 : x
  2. Step 2: Convert to fraction form
    77,687.59/107,205.44 = 47,523.55/x
  3. Step 3: Cross multiply
    77,687.59x = 107,205.44 × 47,523.55
  4. Step 4: Simplify right side
    77,687.59x = 5,094,782,850.49
  5. Step 5: Solve for x
    x = 5,094,782,850.49/77,687.59
  6. Step 6: Final answer
    x = 65,580.40

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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.