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Finding the Fourth Proportional to 106,286, 146,671.12 and 58,539.28

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Solution

The fourth proportional to 106,286, 146,671.12 and 58,539.28 is: 80,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,286 : 146,671.12 = 58,539.28 : x
  2. Step 2: Convert to fraction form
    106,286/146,671.12 = 58,539.28/x
  3. Step 3: Cross multiply
    106,286x = 146,671.12 × 58,539.28
  4. Step 4: Simplify right side
    106,286x = 8,586,021,761.59
  5. Step 5: Solve for x
    x = 8,586,021,761.59/106,286
  6. Step 6: Final answer
    x = 80,782.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.