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Finding the Fourth Proportional to 265,142.31, 397,719.62 and 75,619.63

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Solution

The fourth proportional to 265,142.31, 397,719.62 and 75,619.63 is: 113,431.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,142.31 : 397,719.62 = 75,619.63 : x
  2. Step 2: Convert to fraction form
    265,142.31/397,719.62 = 75,619.63/x
  3. Step 3: Cross multiply
    265,142.31x = 397,719.62 × 75,619.63
  4. Step 4: Simplify right side
    265,142.31x = 30,075,408,673.59
  5. Step 5: Solve for x
    x = 30,075,408,673.59/265,142.31
  6. Step 6: Final answer
    x = 113,431.19

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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.