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Finding the Fourth Proportional to 70,803.68, 106,205.76 and 20,884.40

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Solution

The fourth proportional to 70,803.68, 106,205.76 and 20,884.40 is: 31,326.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,803.68 : 106,205.76 = 20,884.40 : x
  2. Step 2: Convert to fraction form
    70,803.68/106,205.76 = 20,884.40/x
  3. Step 3: Cross multiply
    70,803.68x = 106,205.76 × 20,884.40
  4. Step 4: Simplify right side
    70,803.68x = 2,218,043,574.14
  5. Step 5: Solve for x
    x = 2,218,043,574.14/70,803.68
  6. Step 6: Final answer
    x = 31,326.67

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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.