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Finding the Fourth Proportional to 250,111, 375,202.56 and 81,589.63

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Solution

The fourth proportional to 250,111, 375,202.56 and 81,589.63 is: 122,396.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,111 : 375,202.56 = 81,589.63 : x
  2. Step 2: Convert to fraction form
    250,111/375,202.56 = 81,589.63/x
  3. Step 3: Cross multiply
    250,111x = 375,202.56 × 81,589.63
  4. Step 4: Simplify right side
    250,111x = 30,612,638,045.45
  5. Step 5: Solve for x
    x = 30,612,638,045.45/250,111
  6. Step 6: Final answer
    x = 122,396.21

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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.