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Finding the Fourth Proportional to 117,194.85, 161,797.91 and 76,978.76

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Solution

The fourth proportional to 117,194.85, 161,797.91 and 76,978.76 is: 106,276.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,194.85 : 161,797.91 = 76,978.76 : x
  2. Step 2: Convert to fraction form
    117,194.85/161,797.91 = 76,978.76/x
  3. Step 3: Cross multiply
    117,194.85x = 161,797.91 × 76,978.76
  4. Step 4: Simplify right side
    117,194.85x = 12,455,001,288.51
  5. Step 5: Solve for x
    x = 12,455,001,288.51/117,194.85
  6. Step 6: Final answer
    x = 106,276.01

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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.