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Finding the Fourth Proportional to 74,006.87, 102,128.80 and 41,740.11

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Solution

The fourth proportional to 74,006.87, 102,128.80 and 41,740.11 is: 57,600.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,006.87 : 102,128.80 = 41,740.11 : x
  2. Step 2: Convert to fraction form
    74,006.87/102,128.80 = 41,740.11/x
  3. Step 3: Cross multiply
    74,006.87x = 102,128.80 × 41,740.11
  4. Step 4: Simplify right side
    74,006.87x = 4,262,867,320.08
  5. Step 5: Solve for x
    x = 4,262,867,320.08/74,006.87
  6. Step 6: Final answer
    x = 57,600.97

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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.