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Finding the Fourth Proportional to 154,548.02, 231,822.03 and 84,389.06

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Solution

The fourth proportional to 154,548.02, 231,822.03 and 84,389.06 is: 126,583.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,548.02 : 231,822.03 = 84,389.06 : x
  2. Step 2: Convert to fraction form
    154,548.02/231,822.03 = 84,389.06/x
  3. Step 3: Cross multiply
    154,548.02x = 231,822.03 × 84,389.06
  4. Step 4: Simplify right side
    154,548.02x = 19,563,243,198.99
  5. Step 5: Solve for x
    x = 19,563,243,198.99/154,548.02
  6. Step 6: Final answer
    x = 126,583.59

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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.