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Finding the Fourth Proportional to 213,728.92, 320,474.82 and 87,457.78

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Solution

The fourth proportional to 213,728.92, 320,474.82 and 87,457.78 is: 131,138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,728.92 : 320,474.82 = 87,457.78 : x
  2. Step 2: Convert to fraction form
    213,728.92/320,474.82 = 87,457.78/x
  3. Step 3: Cross multiply
    213,728.92x = 320,474.82 × 87,457.78
  4. Step 4: Simplify right side
    213,728.92x = 28,028,016,303.10
  5. Step 5: Solve for x
    x = 28,028,016,303.10/213,728.92
  6. Step 6: Final answer
    x = 131,138.16

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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.