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Finding the Fourth Proportional to 74,471.29, 102,745.22 and 42,202.51

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Solution

The fourth proportional to 74,471.29, 102,745.22 and 42,202.51 is: 58,225.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,471.29 : 102,745.22 = 42,202.51 : x
  2. Step 2: Convert to fraction form
    74,471.29/102,745.22 = 42,202.51/x
  3. Step 3: Cross multiply
    74,471.29x = 102,745.22 × 42,202.51
  4. Step 4: Simplify right side
    74,471.29x = 4,336,106,174.50
  5. Step 5: Solve for x
    x = 4,336,106,174.50/74,471.29
  6. Step 6: Final answer
    x = 58,225.21

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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.