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Finding the Fourth Proportional to 225,150, 310,712.16 and 129,641.28

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Solution

The fourth proportional to 225,150, 310,712.16 and 129,641.28 is: 178,907.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,150 : 310,712.16 = 129,641.28 : x
  2. Step 2: Convert to fraction form
    225,150/310,712.16 = 129,641.28/x
  3. Step 3: Cross multiply
    225,150x = 310,712.16 × 129,641.28
  4. Step 4: Simplify right side
    225,150x = 40,281,122,133.96
  5. Step 5: Solve for x
    x = 40,281,122,133.96/225,150
  6. Step 6: Final answer
    x = 178,907.94

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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.