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Finding the Fourth Proportional to 181,288.60, 271,932.90 and 154,461.40

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Solution

The fourth proportional to 181,288.60, 271,932.90 and 154,461.40 is: 231,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,288.60 : 271,932.90 = 154,461.40 : x
  2. Step 2: Convert to fraction form
    181,288.60/271,932.90 = 154,461.40/x
  3. Step 3: Cross multiply
    181,288.60x = 271,932.90 × 154,461.40
  4. Step 4: Simplify right side
    181,288.60x = 42,003,136,440.06
  5. Step 5: Solve for x
    x = 42,003,136,440.06/181,288.60
  6. Step 6: Final answer
    x = 231,692.10

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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.