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Finding the Fourth Proportional to 74,360, 102,618.42 and 40,826

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Solution

The fourth proportional to 74,360, 102,618.42 and 40,826 is: 56,340.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,360 : 102,618.42 = 40,826 : x
  2. Step 2: Convert to fraction form
    74,360/102,618.42 = 40,826/x
  3. Step 3: Cross multiply
    74,360x = 102,618.42 × 40,826
  4. Step 4: Simplify right side
    74,360x = 4,189,499,614.92
  5. Step 5: Solve for x
    x = 4,189,499,614.92/74,360
  6. Step 6: Final answer
    x = 56,340.77

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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.