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Finding the Fourth Proportional to 179,722.40, 269,410.80 and 139,719.20

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Solution

The fourth proportional to 179,722.40, 269,410.80 and 139,719.20 is: 209,444.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,722.40 : 269,410.80 = 139,719.20 : x
  2. Step 2: Convert to fraction form
    179,722.40/269,410.80 = 139,719.20/x
  3. Step 3: Cross multiply
    179,722.40x = 269,410.80 × 139,719.20
  4. Step 4: Simplify right side
    179,722.40x = 37,641,861,447.36
  5. Step 5: Solve for x
    x = 37,641,861,447.36/179,722.40
  6. Step 6: Final answer
    x = 209,444.46

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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.