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Finding the Fourth Proportional to 225,582.66, 311,292.15 and 128,782.68

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Solution

The fourth proportional to 225,582.66, 311,292.15 and 128,782.68 is: 177,713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,582.66 : 311,292.15 = 128,782.68 : x
  2. Step 2: Convert to fraction form
    225,582.66/311,292.15 = 128,782.68/x
  3. Step 3: Cross multiply
    225,582.66x = 311,292.15 × 128,782.68
  4. Step 4: Simplify right side
    225,582.66x = 40,089,037,339.96
  5. Step 5: Solve for x
    x = 40,089,037,339.96/225,582.66
  6. Step 6: Final answer
    x = 177,713.29

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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.