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Finding the Fourth Proportional to 74,415, 102,692.74 and 40,883.16

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Solution

The fourth proportional to 74,415, 102,692.74 and 40,883.16 is: 56,418.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,415 : 102,692.74 = 40,883.16 : x
  2. Step 2: Convert to fraction form
    74,415/102,692.74 = 40,883.16/x
  3. Step 3: Cross multiply
    74,415x = 102,692.74 × 40,883.16
  4. Step 4: Simplify right side
    74,415x = 4,198,403,720.26
  5. Step 5: Solve for x
    x = 4,198,403,720.26/74,415
  6. Step 6: Final answer
    x = 56,418.78

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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.