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Finding the Fourth Proportional to 74,273, 102,496.74 and 40,738.28

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Solution

The fourth proportional to 74,273, 102,496.74 and 40,738.28 is: 56,218.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,273 : 102,496.74 = 40,738.28 : x
  2. Step 2: Convert to fraction form
    74,273/102,496.74 = 40,738.28/x
  3. Step 3: Cross multiply
    74,273x = 102,496.74 × 40,738.28
  4. Step 4: Simplify right side
    74,273x = 4,175,540,893.21
  5. Step 5: Solve for x
    x = 4,175,540,893.21/74,273
  6. Step 6: Final answer
    x = 56,218.83

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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.