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Finding the Fourth Proportional to 71,003.54, 97,981.58 and 40,767.60

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Solution

The fourth proportional to 71,003.54, 97,981.58 and 40,767.60 is: 56,257.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,003.54 : 97,981.58 = 40,767.60 : x
  2. Step 2: Convert to fraction form
    71,003.54/97,981.58 = 40,767.60/x
  3. Step 3: Cross multiply
    71,003.54x = 97,981.58 × 40,767.60
  4. Step 4: Simplify right side
    71,003.54x = 3,994,473,860.81
  5. Step 5: Solve for x
    x = 3,994,473,860.81/71,003.54
  6. Step 6: Final answer
    x = 56,257.39

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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.