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Finding the Fourth Proportional to 225,989.72, 311,862.98 and 130,494.32

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Solution

The fourth proportional to 225,989.72, 311,862.98 and 130,494.32 is: 180,080.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,989.72 : 311,862.98 = 130,494.32 : x
  2. Step 2: Convert to fraction form
    225,989.72/311,862.98 = 130,494.32/x
  3. Step 3: Cross multiply
    225,989.72x = 311,862.98 × 130,494.32
  4. Step 4: Simplify right side
    225,989.72x = 40,696,347,508.27
  5. Step 5: Solve for x
    x = 40,696,347,508.27/225,989.72
  6. Step 6: Final answer
    x = 180,080.53

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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.