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Finding the Fourth Proportional to 70,811.28, 97,703.88 and 40,986

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Solution

The fourth proportional to 70,811.28, 97,703.88 and 40,986 is: 56,551.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,811.28 : 97,703.88 = 40,986 : x
  2. Step 2: Convert to fraction form
    70,811.28/97,703.88 = 40,986/x
  3. Step 3: Cross multiply
    70,811.28x = 97,703.88 × 40,986
  4. Step 4: Simplify right side
    70,811.28x = 4,004,491,225.68
  5. Step 5: Solve for x
    x = 4,004,491,225.68/70,811.28
  6. Step 6: Final answer
    x = 56,551.60

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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.