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Finding the Fourth Proportional to 74,356.91, 102,612.72 and 40,365.46

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Solution

The fourth proportional to 74,356.91, 102,612.72 and 40,365.46 is: 55,704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,356.91 : 102,612.72 = 40,365.46 : x
  2. Step 2: Convert to fraction form
    74,356.91/102,612.72 = 40,365.46/x
  3. Step 3: Cross multiply
    74,356.91x = 102,612.72 × 40,365.46
  4. Step 4: Simplify right side
    74,356.91x = 4,142,009,644.65
  5. Step 5: Solve for x
    x = 4,142,009,644.65/74,356.91
  6. Step 6: Final answer
    x = 55,704.43

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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.