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Finding the Fourth Proportional to 74,100, 102,258 and 40,566

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Solution

The fourth proportional to 74,100, 102,258 and 40,566 is: 55,981.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,100 : 102,258 = 40,566 : x
  2. Step 2: Convert to fraction form
    74,100/102,258 = 40,566/x
  3. Step 3: Cross multiply
    74,100x = 102,258 × 40,566
  4. Step 4: Simplify right side
    74,100x = 4,148,198,028
  5. Step 5: Solve for x
    x = 4,148,198,028/74,100
  6. Step 6: Final answer
    x = 55,981.08

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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.