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Finding the Fourth Proportional to 128,178.86, 192,141.92 and 45,014.54

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Solution

The fourth proportional to 128,178.86, 192,141.92 and 45,014.54 is: 67,477.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,178.86 : 192,141.92 = 45,014.54 : x
  2. Step 2: Convert to fraction form
    128,178.86/192,141.92 = 45,014.54/x
  3. Step 3: Cross multiply
    128,178.86x = 192,141.92 × 45,014.54
  4. Step 4: Simplify right side
    128,178.86x = 8,649,179,182.81
  5. Step 5: Solve for x
    x = 8,649,179,182.81/128,178.86
  6. Step 6: Final answer
    x = 67,477.43

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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.