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Finding the Fourth Proportional to 152,174.40, 227,161.92 and 133,512

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Solution

The fourth proportional to 152,174.40, 227,161.92 and 133,512 is: 199,303.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,174.40 : 227,161.92 = 133,512 : x
  2. Step 2: Convert to fraction form
    152,174.40/227,161.92 = 133,512/x
  3. Step 3: Cross multiply
    152,174.40x = 227,161.92 × 133,512
  4. Step 4: Simplify right side
    152,174.40x = 30,328,842,263.04
  5. Step 5: Solve for x
    x = 30,328,842,263.04/152,174.40
  6. Step 6: Final answer
    x = 199,303.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.