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Finding the Fourth Proportional to 56,474.82, 77,913.09 and 39,474.54

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Solution

The fourth proportional to 56,474.82, 77,913.09 and 39,474.54 is: 54,459.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,474.82 : 77,913.09 = 39,474.54 : x
  2. Step 2: Convert to fraction form
    56,474.82/77,913.09 = 39,474.54/x
  3. Step 3: Cross multiply
    56,474.82x = 77,913.09 × 39,474.54
  4. Step 4: Simplify right side
    56,474.82x = 3,075,583,387.73
  5. Step 5: Solve for x
    x = 3,075,583,387.73/56,474.82
  6. Step 6: Final answer
    x = 54,459.37

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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.