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Finding the Fourth Proportional to 74,064.56, 102,209.13 and 40,530.56

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Solution

The fourth proportional to 74,064.56, 102,209.13 and 40,530.56 is: 55,932.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,064.56 : 102,209.13 = 40,530.56 : x
  2. Step 2: Convert to fraction form
    74,064.56/102,209.13 = 40,530.56/x
  3. Step 3: Cross multiply
    74,064.56x = 102,209.13 × 40,530.56
  4. Step 4: Simplify right side
    74,064.56x = 4,142,593,531.54
  5. Step 5: Solve for x
    x = 4,142,593,531.54/74,064.56
  6. Step 6: Final answer
    x = 55,932.19

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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.