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Finding the Fourth Proportional to 70,816.50, 106,224.75 and 21,568.50

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Solution

The fourth proportional to 70,816.50, 106,224.75 and 21,568.50 is: 32,352.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,816.50 : 106,224.75 = 21,568.50 : x
  2. Step 2: Convert to fraction form
    70,816.50/106,224.75 = 21,568.50/x
  3. Step 3: Cross multiply
    70,816.50x = 106,224.75 × 21,568.50
  4. Step 4: Simplify right side
    70,816.50x = 2,291,108,520.38
  5. Step 5: Solve for x
    x = 2,291,108,520.38/70,816.50
  6. Step 6: Final answer
    x = 32,352.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.