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Finding the Fourth Proportional to 75,739.32, 113,608.98 and 47,979

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Solution

The fourth proportional to 75,739.32, 113,608.98 and 47,979 is: 71,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,739.32 : 113,608.98 = 47,979 : x
  2. Step 2: Convert to fraction form
    75,739.32/113,608.98 = 47,979/x
  3. Step 3: Cross multiply
    75,739.32x = 113,608.98 × 47,979
  4. Step 4: Simplify right side
    75,739.32x = 5,450,845,251.42
  5. Step 5: Solve for x
    x = 5,450,845,251.42/75,739.32
  6. Step 6: Final answer
    x = 71,968.50

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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.