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Finding the Fourth Proportional to 165,190.40, 227,951.52 and 89,737.28

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Solution

The fourth proportional to 165,190.40, 227,951.52 and 89,737.28 is: 123,831.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,190.40 : 227,951.52 = 89,737.28 : x
  2. Step 2: Convert to fraction form
    165,190.40/227,951.52 = 89,737.28/x
  3. Step 3: Cross multiply
    165,190.40x = 227,951.52 × 89,737.28
  4. Step 4: Simplify right side
    165,190.40x = 20,455,749,376.67
  5. Step 5: Solve for x
    x = 20,455,749,376.67/165,190.40
  6. Step 6: Final answer
    x = 123,831.34

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1.5x scale

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.