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Finding the Fourth Proportional to 254,058.24, 381,101.76 and 76,589.76

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Solution

The fourth proportional to 254,058.24, 381,101.76 and 76,589.76 is: 114,888.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,058.24 : 381,101.76 = 76,589.76 : x
  2. Step 2: Convert to fraction form
    254,058.24/381,101.76 = 76,589.76/x
  3. Step 3: Cross multiply
    254,058.24x = 381,101.76 × 76,589.76
  4. Step 4: Simplify right side
    254,058.24x = 29,188,492,333.98
  5. Step 5: Solve for x
    x = 29,188,492,333.98/254,058.24
  6. Step 6: Final answer
    x = 114,888.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.