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Finding the Fourth Proportional to 70,797.28, 97,684.56 and 40,972

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Solution

The fourth proportional to 70,797.28, 97,684.56 and 40,972 is: 56,532.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,797.28 : 97,684.56 = 40,972 : x
  2. Step 2: Convert to fraction form
    70,797.28/97,684.56 = 40,972/x
  3. Step 3: Cross multiply
    70,797.28x = 97,684.56 × 40,972
  4. Step 4: Simplify right side
    70,797.28x = 4,002,331,792.32
  5. Step 5: Solve for x
    x = 4,002,331,792.32/70,797.28
  6. Step 6: Final answer
    x = 56,532.28

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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.