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Finding the Fourth Proportional to 74,129.40, 102,298.40 and 40,137.90

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Solution

The fourth proportional to 74,129.40, 102,298.40 and 40,137.90 is: 55,390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,129.40 : 102,298.40 = 40,137.90 : x
  2. Step 2: Convert to fraction form
    74,129.40/102,298.40 = 40,137.90/x
  3. Step 3: Cross multiply
    74,129.40x = 102,298.40 × 40,137.90
  4. Step 4: Simplify right side
    74,129.40x = 4,106,042,949.36
  5. Step 5: Solve for x
    x = 4,106,042,949.36/74,129.40
  6. Step 6: Final answer
    x = 55,390.21

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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.