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Finding the Fourth Proportional to 115,515, 173,272.50 and 41,643

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Solution

The fourth proportional to 115,515, 173,272.50 and 41,643 is: 62,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,515 : 173,272.50 = 41,643 : x
  2. Step 2: Convert to fraction form
    115,515/173,272.50 = 41,643/x
  3. Step 3: Cross multiply
    115,515x = 173,272.50 × 41,643
  4. Step 4: Simplify right side
    115,515x = 7,215,586,717.50
  5. Step 5: Solve for x
    x = 7,215,586,717.50/115,515
  6. Step 6: Final answer
    x = 62,464.50

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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.