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Finding the Fourth Proportional to 74,274, 102,499.68 and 40,740

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Solution

The fourth proportional to 74,274, 102,499.68 and 40,740 is: 56,222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,274 : 102,499.68 = 40,740 : x
  2. Step 2: Convert to fraction form
    74,274/102,499.68 = 40,740/x
  3. Step 3: Cross multiply
    74,274x = 102,499.68 × 40,740
  4. Step 4: Simplify right side
    74,274x = 4,175,836,963.20
  5. Step 5: Solve for x
    x = 4,175,836,963.20/74,274
  6. Step 6: Final answer
    x = 56,222.06

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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.