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Finding the Fourth Proportional to 70,505.28, 97,282.08 and 40,680

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Solution

The fourth proportional to 70,505.28, 97,282.08 and 40,680 is: 56,129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,505.28 : 97,282.08 = 40,680 : x
  2. Step 2: Convert to fraction form
    70,505.28/97,282.08 = 40,680/x
  3. Step 3: Cross multiply
    70,505.28x = 97,282.08 × 40,680
  4. Step 4: Simplify right side
    70,505.28x = 3,957,435,014.40
  5. Step 5: Solve for x
    x = 3,957,435,014.40/70,505.28
  6. Step 6: Final answer
    x = 56,129.63

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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.