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Finding the Fourth Proportional to 189,901.96, 284,477.22 and 154,402.90

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Solution

The fourth proportional to 189,901.96, 284,477.22 and 154,402.90 is: 231,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,901.96 : 284,477.22 = 154,402.90 : x
  2. Step 2: Convert to fraction form
    189,901.96/284,477.22 = 154,402.90/x
  3. Step 3: Cross multiply
    189,901.96x = 284,477.22 × 154,402.90
  4. Step 4: Simplify right side
    189,901.96x = 43,924,107,751.94
  5. Step 5: Solve for x
    x = 43,924,107,751.94/189,901.96
  6. Step 6: Final answer
    x = 231,298.86

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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.