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Finding the Fourth Proportional to 74,094, 102,249.72 and 40,560

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Solution

The fourth proportional to 74,094, 102,249.72 and 40,560 is: 55,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,094 : 102,249.72 = 40,560 : x
  2. Step 2: Convert to fraction form
    74,094/102,249.72 = 40,560/x
  3. Step 3: Cross multiply
    74,094x = 102,249.72 × 40,560
  4. Step 4: Simplify right side
    74,094x = 4,147,248,643.20
  5. Step 5: Solve for x
    x = 4,147,248,643.20/74,094
  6. Step 6: Final answer
    x = 55,972.80

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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.