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Finding the Fourth Proportional to 85,838.21, 128,751.68 and 29,665.25

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Solution

The fourth proportional to 85,838.21, 128,751.68 and 29,665.25 is: 44,495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,838.21 : 128,751.68 = 29,665.25 : x
  2. Step 2: Convert to fraction form
    85,838.21/128,751.68 = 29,665.25/x
  3. Step 3: Cross multiply
    85,838.21x = 128,751.68 × 29,665.25
  4. Step 4: Simplify right side
    85,838.21x = 3,819,450,626.79
  5. Step 5: Solve for x
    x = 3,819,450,626.79/85,838.21
  6. Step 6: Final answer
    x = 44,495.93

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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.