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Finding the Fourth Proportional to 113,912.35, 157,167.48 and 65,511.64

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Solution

The fourth proportional to 113,912.35, 157,167.48 and 65,511.64 is: 90,387.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,912.35 : 157,167.48 = 65,511.64 : x
  2. Step 2: Convert to fraction form
    113,912.35/157,167.48 = 65,511.64/x
  3. Step 3: Cross multiply
    113,912.35x = 157,167.48 × 65,511.64
  4. Step 4: Simplify right side
    113,912.35x = 10,296,299,369.47
  5. Step 5: Solve for x
    x = 10,296,299,369.47/113,912.35
  6. Step 6: Final answer
    x = 90,387.91

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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.