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Finding the Fourth Proportional to 75,376, 104,018.88 and 41,842.24

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Solution

The fourth proportional to 75,376, 104,018.88 and 41,842.24 is: 57,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,376 : 104,018.88 = 41,842.24 : x
  2. Step 2: Convert to fraction form
    75,376/104,018.88 = 41,842.24/x
  3. Step 3: Cross multiply
    75,376x = 104,018.88 × 41,842.24
  4. Step 4: Simplify right side
    75,376x = 4,352,382,941.49
  5. Step 5: Solve for x
    x = 4,352,382,941.49/75,376
  6. Step 6: Final answer
    x = 57,742.29

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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.