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Finding the Fourth Proportional to 70,940.80, 97,880.64 and 45,760

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Solution

The fourth proportional to 70,940.80, 97,880.64 and 45,760 is: 63,137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,940.80 : 97,880.64 = 45,760 : x
  2. Step 2: Convert to fraction form
    70,940.80/97,880.64 = 45,760/x
  3. Step 3: Cross multiply
    70,940.80x = 97,880.64 × 45,760
  4. Step 4: Simplify right side
    70,940.80x = 4,479,018,086.40
  5. Step 5: Solve for x
    x = 4,479,018,086.40/70,940.80
  6. Step 6: Final answer
    x = 63,137.41

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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.