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Finding the Fourth Proportional to 154,212.80, 231,319.20 and 119,220.80

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Solution

The fourth proportional to 154,212.80, 231,319.20 and 119,220.80 is: 178,831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,212.80 : 231,319.20 = 119,220.80 : x
  2. Step 2: Convert to fraction form
    154,212.80/231,319.20 = 119,220.80/x
  3. Step 3: Cross multiply
    154,212.80x = 231,319.20 × 119,220.80
  4. Step 4: Simplify right side
    154,212.80x = 27,578,060,079.36
  5. Step 5: Solve for x
    x = 27,578,060,079.36/154,212.80
  6. Step 6: Final answer
    x = 178,831.20

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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.