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Finding the Fourth Proportional to 85,914.15, 128,840.33 and 29,739

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Solution

The fourth proportional to 85,914.15, 128,840.33 and 29,739 is: 44,597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,914.15 : 128,840.33 = 29,739 : x
  2. Step 2: Convert to fraction form
    85,914.15/128,840.33 = 29,739/x
  3. Step 3: Cross multiply
    85,914.15x = 128,840.33 × 29,739
  4. Step 4: Simplify right side
    85,914.15x = 3,831,582,425.18
  5. Step 5: Solve for x
    x = 3,831,582,425.18/85,914.15
  6. Step 6: Final answer
    x = 44,597.80

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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.