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Finding the Fourth Proportional to 77,676.84, 107,193.02 and 43,685.32

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Solution

The fourth proportional to 77,676.84, 107,193.02 and 43,685.32 is: 60,285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,676.84 : 107,193.02 = 43,685.32 : x
  2. Step 2: Convert to fraction form
    77,676.84/107,193.02 = 43,685.32/x
  3. Step 3: Cross multiply
    77,676.84x = 107,193.02 × 43,685.32
  4. Step 4: Simplify right side
    77,676.84x = 4,682,760,894.06
  5. Step 5: Solve for x
    x = 4,682,760,894.06/77,676.84
  6. Step 6: Final answer
    x = 60,285.16

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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.