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Finding the Fourth Proportional to 85,730.54, 128,678.81 and 41,388.41

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Solution

The fourth proportional to 85,730.54, 128,678.81 and 41,388.41 is: 62,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,730.54 : 128,678.81 = 41,388.41 : x
  2. Step 2: Convert to fraction form
    85,730.54/128,678.81 = 41,388.41/x
  3. Step 3: Cross multiply
    85,730.54x = 128,678.81 × 41,388.41
  4. Step 4: Simplify right side
    85,730.54x = 5,325,811,461.35
  5. Step 5: Solve for x
    x = 5,325,811,461.35/85,730.54
  6. Step 6: Final answer
    x = 62,122.69

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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.