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Finding the Fourth Proportional to 77,482.72, 106,975.92 and 47,692

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Solution

The fourth proportional to 77,482.72, 106,975.92 and 47,692 is: 65,845.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,482.72 : 106,975.92 = 47,692 : x
  2. Step 2: Convert to fraction form
    77,482.72/106,975.92 = 47,692/x
  3. Step 3: Cross multiply
    77,482.72x = 106,975.92 × 47,692
  4. Step 4: Simplify right side
    77,482.72x = 5,101,895,576.64
  5. Step 5: Solve for x
    x = 5,101,895,576.64/77,482.72
  6. Step 6: Final answer
    x = 65,845.59

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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.