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Finding the Fourth Proportional to 70,802.67, 106,222.22 and 20,880.75

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Solution

The fourth proportional to 70,802.67, 106,222.22 and 20,880.75 is: 31,326.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,802.67 : 106,222.22 = 20,880.75 : x
  2. Step 2: Convert to fraction form
    70,802.67/106,222.22 = 20,880.75/x
  3. Step 3: Cross multiply
    70,802.67x = 106,222.22 × 20,880.75
  4. Step 4: Simplify right side
    70,802.67x = 2,217,999,141.36
  5. Step 5: Solve for x
    x = 2,217,999,141.36/70,802.67
  6. Step 6: Final answer
    x = 31,326.49

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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.