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Finding the Fourth Proportional to 73,935, 102,030.36 and 40,401

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Solution

The fourth proportional to 73,935, 102,030.36 and 40,401 is: 55,753.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,935 : 102,030.36 = 40,401 : x
  2. Step 2: Convert to fraction form
    73,935/102,030.36 = 40,401/x
  3. Step 3: Cross multiply
    73,935x = 102,030.36 × 40,401
  4. Step 4: Simplify right side
    73,935x = 4,122,128,574.36
  5. Step 5: Solve for x
    x = 4,122,128,574.36/73,935
  6. Step 6: Final answer
    x = 55,753.41

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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.