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Finding the Fourth Proportional to 73,954, 102,057.48 and 40,420.72

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Solution

The fourth proportional to 73,954, 102,057.48 and 40,420.72 is: 55,781.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,954 : 102,057.48 = 40,420.72 : x
  2. Step 2: Convert to fraction form
    73,954/102,057.48 = 40,420.72/x
  3. Step 3: Cross multiply
    73,954x = 102,057.48 × 40,420.72
  4. Step 4: Simplify right side
    73,954x = 4,125,236,822.99
  5. Step 5: Solve for x
    x = 4,125,236,822.99/73,954
  6. Step 6: Final answer
    x = 55,781.12

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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.