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Finding the Fourth Proportional to 117,204.98, 161,731.27 and 65,512.40

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Solution

The fourth proportional to 117,204.98, 161,731.27 and 65,512.40 is: 90,400.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,204.98 : 161,731.27 = 65,512.40 : x
  2. Step 2: Convert to fraction form
    117,204.98/161,731.27 = 65,512.40/x
  3. Step 3: Cross multiply
    117,204.98x = 161,731.27 × 65,512.40
  4. Step 4: Simplify right side
    117,204.98x = 10,595,403,652.75
  5. Step 5: Solve for x
    x = 10,595,403,652.75/117,204.98
  6. Step 6: Final answer
    x = 90,400.63

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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.