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Finding the Fourth Proportional to 74,467.84, 102,766.31 and 40,476.40

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Solution

The fourth proportional to 74,467.84, 102,766.31 and 40,476.40 is: 55,857.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,467.84 : 102,766.31 = 40,476.40 : x
  2. Step 2: Convert to fraction form
    74,467.84/102,766.31 = 40,476.40/x
  3. Step 3: Cross multiply
    74,467.84x = 102,766.31 × 40,476.40
  4. Step 4: Simplify right side
    74,467.84x = 4,159,610,270.08
  5. Step 5: Solve for x
    x = 4,159,610,270.08/74,467.84
  6. Step 6: Final answer
    x = 55,857.81

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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.