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Finding the Fourth Proportional to 137,221.44, 205,831.68 and 90,133.68

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Solution

The fourth proportional to 137,221.44, 205,831.68 and 90,133.68 is: 135,200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,221.44 : 205,831.68 = 90,133.68 : x
  2. Step 2: Convert to fraction form
    137,221.44/205,831.68 = 90,133.68/x
  3. Step 3: Cross multiply
    137,221.44x = 205,831.68 × 90,133.68
  4. Step 4: Simplify right side
    137,221.44x = 18,552,366,778.98
  5. Step 5: Solve for x
    x = 18,552,366,778.98/137,221.44
  6. Step 6: Final answer
    x = 135,200.20

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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.