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Finding the Fourth Proportional to 42,286, 63,328.56 and 27,448.96

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Solution

The fourth proportional to 42,286, 63,328.56 and 27,448.96 is: 41,108.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,286 : 63,328.56 = 27,448.96 : x
  2. Step 2: Convert to fraction form
    42,286/63,328.56 = 27,448.96/x
  3. Step 3: Cross multiply
    42,286x = 63,328.56 × 27,448.96
  4. Step 4: Simplify right side
    42,286x = 1,738,303,110.30
  5. Step 5: Solve for x
    x = 1,738,303,110.30/42,286
  6. Step 6: Final answer
    x = 41,108.24

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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.