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Finding the Fourth Proportional to 74,494.13, 102,803.90 and 40,504.88

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Solution

The fourth proportional to 74,494.13, 102,803.90 and 40,504.88 is: 55,897.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,494.13 : 102,803.90 = 40,504.88 : x
  2. Step 2: Convert to fraction form
    74,494.13/102,803.90 = 40,504.88/x
  3. Step 3: Cross multiply
    74,494.13x = 102,803.90 × 40,504.88
  4. Step 4: Simplify right side
    74,494.13x = 4,164,059,687.52
  5. Step 5: Solve for x
    x = 4,164,059,687.52/74,494.13
  6. Step 6: Final answer
    x = 55,897.83

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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.