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Finding the Fourth Proportional to 74,615.84, 102,971.13 and 40,625.30

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Solution

The fourth proportional to 74,615.84, 102,971.13 and 40,625.30 is: 56,063.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,615.84 : 102,971.13 = 40,625.30 : x
  2. Step 2: Convert to fraction form
    74,615.84/102,971.13 = 40,625.30/x
  3. Step 3: Cross multiply
    74,615.84x = 102,971.13 × 40,625.30
  4. Step 4: Simplify right side
    74,615.84x = 4,183,232,532.73
  5. Step 5: Solve for x
    x = 4,183,232,532.73/74,615.84
  6. Step 6: Final answer
    x = 56,063.60

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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.