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Finding the Fourth Proportional to 120,271.76, 165,865.37 and 103,270.67

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Solution

The fourth proportional to 120,271.76, 165,865.37 and 103,270.67 is: 142,419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,271.76 : 165,865.37 = 103,270.67 : x
  2. Step 2: Convert to fraction form
    120,271.76/165,865.37 = 103,270.67/x
  3. Step 3: Cross multiply
    120,271.76x = 165,865.37 × 103,270.67
  4. Step 4: Simplify right side
    120,271.76x = 17,129,027,889.70
  5. Step 5: Solve for x
    x = 17,129,027,889.70/120,271.76
  6. Step 6: Final answer
    x = 142,419.37

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1.5x scale

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.