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Finding the Fourth Proportional to 223,113.72, 307,896.30 and 133,689.72

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Solution

The fourth proportional to 223,113.72, 307,896.30 and 133,689.72 is: 184,491.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,113.72 : 307,896.30 = 133,689.72 : x
  2. Step 2: Convert to fraction form
    223,113.72/307,896.30 = 133,689.72/x
  3. Step 3: Cross multiply
    223,113.72x = 307,896.30 × 133,689.72
  4. Step 4: Simplify right side
    223,113.72x = 41,162,570,136.04
  5. Step 5: Solve for x
    x = 41,162,570,136.04/223,113.72
  6. Step 6: Final answer
    x = 184,491.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.