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Finding the Fourth Proportional to 74,419, 102,698.26 and 40,887.16

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Solution

The fourth proportional to 74,419, 102,698.26 and 40,887.16 is: 56,424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,419 : 102,698.26 = 40,887.16 : x
  2. Step 2: Convert to fraction form
    74,419/102,698.26 = 40,887.16/x
  3. Step 3: Cross multiply
    74,419x = 102,698.26 × 40,887.16
  4. Step 4: Simplify right side
    74,419x = 4,199,040,188.34
  5. Step 5: Solve for x
    x = 4,199,040,188.34/74,419
  6. Step 6: Final answer
    x = 56,424.30

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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.