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Finding the Fourth Proportional to 225,677.61, 311,423.54 and 130,178.61

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Solution

The fourth proportional to 225,677.61, 311,423.54 and 130,178.61 is: 179,639.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,677.61 : 311,423.54 = 130,178.61 : x
  2. Step 2: Convert to fraction form
    225,677.61/311,423.54 = 130,178.61/x
  3. Step 3: Cross multiply
    225,677.61x = 311,423.54 × 130,178.61
  4. Step 4: Simplify right side
    225,677.61x = 40,540,682,907.59
  5. Step 5: Solve for x
    x = 40,540,682,907.59/225,677.61
  6. Step 6: Final answer
    x = 179,639.81

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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.