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Finding the Fourth Proportional to 126,491.40, 189,712.80 and 37,747.80

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Solution

The fourth proportional to 126,491.40, 189,712.80 and 37,747.80 is: 56,614.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,491.40 : 189,712.80 = 37,747.80 : x
  2. Step 2: Convert to fraction form
    126,491.40/189,712.80 = 37,747.80/x
  3. Step 3: Cross multiply
    126,491.40x = 189,712.80 × 37,747.80
  4. Step 4: Simplify right side
    126,491.40x = 7,161,240,831.84
  5. Step 5: Solve for x
    x = 7,161,240,831.84/126,491.40
  6. Step 6: Final answer
    x = 56,614.45

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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.