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Finding the Fourth Proportional to 149,754.80, 206,595.32 and 101,339.52

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Solution

The fourth proportional to 149,754.80, 206,595.32 and 101,339.52 is: 139,803.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,754.80 : 206,595.32 = 101,339.52 : x
  2. Step 2: Convert to fraction form
    149,754.80/206,595.32 = 101,339.52/x
  3. Step 3: Cross multiply
    149,754.80x = 206,595.32 × 101,339.52
  4. Step 4: Simplify right side
    149,754.80x = 20,936,270,563.05
  5. Step 5: Solve for x
    x = 20,936,270,563.05/149,754.80
  6. Step 6: Final answer
    x = 139,803.67

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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.