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Finding the Fourth Proportional to 76,115.49, 105,004.33 and 49,266.63

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Solution

The fourth proportional to 76,115.49, 105,004.33 and 49,266.63 is: 67,965.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,115.49 : 105,004.33 = 49,266.63 : x
  2. Step 2: Convert to fraction form
    76,115.49/105,004.33 = 49,266.63/x
  3. Step 3: Cross multiply
    76,115.49x = 105,004.33 × 49,266.63
  4. Step 4: Simplify right side
    76,115.49x = 5,173,208,949.49
  5. Step 5: Solve for x
    x = 5,173,208,949.49/76,115.49
  6. Step 6: Final answer
    x = 67,965.26

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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.