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Finding the Fourth Proportional to 171,411.63, 257,189.22 and 75,299.28

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Solution

The fourth proportional to 171,411.63, 257,189.22 and 75,299.28 is: 112,980.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,411.63 : 257,189.22 = 75,299.28 : x
  2. Step 2: Convert to fraction form
    171,411.63/257,189.22 = 75,299.28/x
  3. Step 3: Cross multiply
    171,411.63x = 257,189.22 × 75,299.28
  4. Step 4: Simplify right side
    171,411.63x = 19,366,161,427.32
  5. Step 5: Solve for x
    x = 19,366,161,427.32/171,411.63
  6. Step 6: Final answer
    x = 112,980.44

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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.