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Finding the Fourth Proportional to 126,194.40, 189,061.20 and 102,693.60

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Solution

The fourth proportional to 126,194.40, 189,061.20 and 102,693.60 is: 153,852.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,194.40 : 189,061.20 = 102,693.60 : x
  2. Step 2: Convert to fraction form
    126,194.40/189,061.20 = 102,693.60/x
  3. Step 3: Cross multiply
    126,194.40x = 189,061.20 × 102,693.60
  4. Step 4: Simplify right side
    126,194.40x = 19,415,375,248.32
  5. Step 5: Solve for x
    x = 19,415,375,248.32/126,194.40
  6. Step 6: Final answer
    x = 153,852.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.