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Finding the Fourth Proportional to 117,391.88, 161,902.26 and 77,074.76

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Solution

The fourth proportional to 117,391.88, 161,902.26 and 77,074.76 is: 106,298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,391.88 : 161,902.26 = 77,074.76 : x
  2. Step 2: Convert to fraction form
    117,391.88/161,902.26 = 77,074.76/x
  3. Step 3: Cross multiply
    117,391.88x = 161,902.26 × 77,074.76
  4. Step 4: Simplify right side
    117,391.88x = 12,478,577,832.96
  5. Step 5: Solve for x
    x = 12,478,577,832.96/117,391.88
  6. Step 6: Final answer
    x = 106,298.48

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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.