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Finding the Fourth Proportional to 81,383.64, 121,738.44 and 76,407

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Solution

The fourth proportional to 81,383.64, 121,738.44 and 76,407 is: 114,294.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,383.64 : 121,738.44 = 76,407 : x
  2. Step 2: Convert to fraction form
    81,383.64/121,738.44 = 76,407/x
  3. Step 3: Cross multiply
    81,383.64x = 121,738.44 × 76,407
  4. Step 4: Simplify right side
    81,383.64x = 9,301,668,985.08
  5. Step 5: Solve for x
    x = 9,301,668,985.08/81,383.64
  6. Step 6: Final answer
    x = 114,294.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.