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Finding the Fourth Proportional to 74,238, 102,448.44 and 40,704

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Solution

The fourth proportional to 74,238, 102,448.44 and 40,704 is: 56,171.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,238 : 102,448.44 = 40,704 : x
  2. Step 2: Convert to fraction form
    74,238/102,448.44 = 40,704/x
  3. Step 3: Cross multiply
    74,238x = 102,448.44 × 40,704
  4. Step 4: Simplify right side
    74,238x = 4,170,061,301.76
  5. Step 5: Solve for x
    x = 4,170,061,301.76/74,238
  6. Step 6: Final answer
    x = 56,171.52

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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.