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Finding the Fourth Proportional to 74,239, 102,449.82 and 40,705

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Solution

The fourth proportional to 74,239, 102,449.82 and 40,705 is: 56,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,239 : 102,449.82 = 40,705 : x
  2. Step 2: Convert to fraction form
    74,239/102,449.82 = 40,705/x
  3. Step 3: Cross multiply
    74,239x = 102,449.82 × 40,705
  4. Step 4: Simplify right side
    74,239x = 4,170,219,923.10
  5. Step 5: Solve for x
    x = 4,170,219,923.10/74,239
  6. Step 6: Final answer
    x = 56,172.90

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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.