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Finding the Fourth Proportional to 225,753.16, 311,539.80 and 125,151.16

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Solution

The fourth proportional to 225,753.16, 311,539.80 and 125,151.16 is: 172,708.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,753.16 : 311,539.80 = 125,151.16 : x
  2. Step 2: Convert to fraction form
    225,753.16/311,539.80 = 125,151.16/x
  3. Step 3: Cross multiply
    225,753.16x = 311,539.80 × 125,151.16
  4. Step 4: Simplify right side
    225,753.16x = 38,989,567,356.17
  5. Step 5: Solve for x
    x = 38,989,567,356.17/225,753.16
  6. Step 6: Final answer
    x = 172,708.84

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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.