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Finding the Fourth Proportional to 85,522.88, 128,305.34 and 29,363.81

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Solution

The fourth proportional to 85,522.88, 128,305.34 and 29,363.81 is: 44,052.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,522.88 : 128,305.34 = 29,363.81 : x
  2. Step 2: Convert to fraction form
    85,522.88/128,305.34 = 29,363.81/x
  3. Step 3: Cross multiply
    85,522.88x = 128,305.34 × 29,363.81
  4. Step 4: Simplify right side
    85,522.88x = 3,767,532,837.40
  5. Step 5: Solve for x
    x = 3,767,532,837.40/85,522.88
  6. Step 6: Final answer
    x = 44,052.93

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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.