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Finding the Fourth Proportional to 77,819.84, 116,741.28 and 28,568

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Solution

The fourth proportional to 77,819.84, 116,741.28 and 28,568 is: 42,856.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,819.84 : 116,741.28 = 28,568 : x
  2. Step 2: Convert to fraction form
    77,819.84/116,741.28 = 28,568/x
  3. Step 3: Cross multiply
    77,819.84x = 116,741.28 × 28,568
  4. Step 4: Simplify right side
    77,819.84x = 3,335,064,887.04
  5. Step 5: Solve for x
    x = 3,335,064,887.04/77,819.84
  6. Step 6: Final answer
    x = 42,856.23

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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.