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Finding the Fourth Proportional to 77,687.34, 107,205.09 and 47,523.30

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Solution

The fourth proportional to 77,687.34, 107,205.09 and 47,523.30 is: 65,580.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,687.34 : 107,205.09 = 47,523.30 : x
  2. Step 2: Convert to fraction form
    77,687.34/107,205.09 = 47,523.30/x
  3. Step 3: Cross multiply
    77,687.34x = 107,205.09 × 47,523.30
  4. Step 4: Simplify right side
    77,687.34x = 5,094,739,653.60
  5. Step 5: Solve for x
    x = 5,094,739,653.60/77,687.34
  6. Step 6: Final answer
    x = 65,580.05

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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.