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Finding the Fourth Proportional to 74,057.61, 102,199.07 and 40,066

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Solution

The fourth proportional to 74,057.61, 102,199.07 and 40,066 is: 55,290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,057.61 : 102,199.07 = 40,066 : x
  2. Step 2: Convert to fraction form
    74,057.61/102,199.07 = 40,066/x
  3. Step 3: Cross multiply
    74,057.61x = 102,199.07 × 40,066
  4. Step 4: Simplify right side
    74,057.61x = 4,094,707,938.62
  5. Step 5: Solve for x
    x = 4,094,707,938.62/74,057.61
  6. Step 6: Final answer
    x = 55,290.85

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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.