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Finding the Fourth Proportional to 74,840, 103,279.32 and 41,306

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Solution

The fourth proportional to 74,840, 103,279.32 and 41,306 is: 57,002.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,840 : 103,279.32 = 41,306 : x
  2. Step 2: Convert to fraction form
    74,840/103,279.32 = 41,306/x
  3. Step 3: Cross multiply
    74,840x = 103,279.32 × 41,306
  4. Step 4: Simplify right side
    74,840x = 4,266,055,591.92
  5. Step 5: Solve for x
    x = 4,266,055,591.92/74,840
  6. Step 6: Final answer
    x = 57,002.35

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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.