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Finding the Fourth Proportional to 86,922.72, 119,952 and 47,178.72

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Solution

The fourth proportional to 86,922.72, 119,952 and 47,178.72 is: 65,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,922.72 : 119,952 = 47,178.72 : x
  2. Step 2: Convert to fraction form
    86,922.72/119,952 = 47,178.72/x
  3. Step 3: Cross multiply
    86,922.72x = 119,952 × 47,178.72
  4. Step 4: Simplify right side
    86,922.72x = 5,659,181,821.44
  5. Step 5: Solve for x
    x = 5,659,181,821.44/86,922.72
  6. Step 6: Final answer
    x = 65,105.90

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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.