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Finding the Fourth Proportional to 56,475.82, 77,914.47 and 39,475.54

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Solution

The fourth proportional to 56,475.82, 77,914.47 and 39,475.54 is: 54,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,475.82 : 77,914.47 = 39,475.54 : x
  2. Step 2: Convert to fraction form
    56,475.82/77,914.47 = 39,475.54/x
  3. Step 3: Cross multiply
    56,475.82x = 77,914.47 × 39,475.54
  4. Step 4: Simplify right side
    56,475.82x = 3,075,715,777.06
  5. Step 5: Solve for x
    x = 3,075,715,777.06/56,475.82
  6. Step 6: Final answer
    x = 54,460.75

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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.