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Finding the Fourth Proportional to 225,957.20, 311,818.21 and 130,461.84

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Solution

The fourth proportional to 225,957.20, 311,818.21 and 130,461.84 is: 180,035.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,957.20 : 311,818.21 = 130,461.84 : x
  2. Step 2: Convert to fraction form
    225,957.20/311,818.21 = 130,461.84/x
  3. Step 3: Cross multiply
    225,957.20x = 311,818.21 × 130,461.84
  4. Step 4: Simplify right side
    225,957.20x = 40,680,377,095.95
  5. Step 5: Solve for x
    x = 40,680,377,095.95/225,957.20
  6. Step 6: Final answer
    x = 180,035.77

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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.