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Finding the Fourth Proportional to 159,964.40, 239,831.40 and 89,865.20

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Solution

The fourth proportional to 159,964.40, 239,831.40 and 89,865.20 is: 134,733.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,964.40 : 239,831.40 = 89,865.20 : x
  2. Step 2: Convert to fraction form
    159,964.40/239,831.40 = 89,865.20/x
  3. Step 3: Cross multiply
    159,964.40x = 239,831.40 × 89,865.20
  4. Step 4: Simplify right side
    159,964.40x = 21,552,496,727.28
  5. Step 5: Solve for x
    x = 21,552,496,727.28/159,964.40
  6. Step 6: Final answer
    x = 134,733.08

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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.