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Finding the Fourth Proportional to 74,246, 102,459.50 and 40,712.72

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Solution

The fourth proportional to 74,246, 102,459.50 and 40,712.72 is: 56,183.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,246 : 102,459.50 = 40,712.72 : x
  2. Step 2: Convert to fraction form
    74,246/102,459.50 = 40,712.72/x
  3. Step 3: Cross multiply
    74,246x = 102,459.50 × 40,712.72
  4. Step 4: Simplify right side
    74,246x = 4,171,404,934.84
  5. Step 5: Solve for x
    x = 4,171,404,934.84/74,246
  6. Step 6: Final answer
    x = 56,183.56

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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.