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Finding the Fourth Proportional to 202,423.79, 279,369.43 and 117,540.86

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Solution

The fourth proportional to 202,423.79, 279,369.43 and 117,540.86 is: 162,220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,423.79 : 279,369.43 = 117,540.86 : x
  2. Step 2: Convert to fraction form
    202,423.79/279,369.43 = 117,540.86/x
  3. Step 3: Cross multiply
    202,423.79x = 279,369.43 × 117,540.86
  4. Step 4: Simplify right side
    202,423.79x = 32,837,321,369.21
  5. Step 5: Solve for x
    x = 32,837,321,369.21/202,423.79
  6. Step 6: Final answer
    x = 162,220.66

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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.