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Finding the Fourth Proportional to 113,757.09, 156,992.12 and 65,374.57

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Solution

The fourth proportional to 113,757.09, 156,992.12 and 65,374.57 is: 90,221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,757.09 : 156,992.12 = 65,374.57 : x
  2. Step 2: Convert to fraction form
    113,757.09/156,992.12 = 65,374.57/x
  3. Step 3: Cross multiply
    113,757.09x = 156,992.12 × 65,374.57
  4. Step 4: Simplify right side
    113,757.09x = 10,263,292,011.52
  5. Step 5: Solve for x
    x = 10,263,292,011.52/113,757.09
  6. Step 6: Final answer
    x = 90,221.12

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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.