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Finding the Fourth Proportional to 133,215.72, 199,863.54 and 56,315.16

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Solution

The fourth proportional to 133,215.72, 199,863.54 and 56,315.16 is: 84,489.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,215.72 : 199,863.54 = 56,315.16 : x
  2. Step 2: Convert to fraction form
    133,215.72/199,863.54 = 56,315.16/x
  3. Step 3: Cross multiply
    133,215.72x = 199,863.54 × 56,315.16
  4. Step 4: Simplify right side
    133,215.72x = 11,255,347,233.27
  5. Step 5: Solve for x
    x = 11,255,347,233.27/133,215.72
  6. Step 6: Final answer
    x = 84,489.63

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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.