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Finding the Fourth Proportional to 225,216, 310,722.60 and 129,720.48

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Solution

The fourth proportional to 225,216, 310,722.60 and 129,720.48 is: 178,970.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,216 : 310,722.60 = 129,720.48 : x
  2. Step 2: Convert to fraction form
    225,216/310,722.60 = 129,720.48/x
  3. Step 3: Cross multiply
    225,216x = 310,722.60 × 129,720.48
  4. Step 4: Simplify right side
    225,216x = 40,307,084,818.85
  5. Step 5: Solve for x
    x = 40,307,084,818.85/225,216
  6. Step 6: Final answer
    x = 178,970.79

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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.