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Finding the Fourth Proportional to 119,145.67, 164,311.34 and 80,962.47

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Solution

The fourth proportional to 119,145.67, 164,311.34 and 80,962.47 is: 111,653.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,145.67 : 164,311.34 = 80,962.47 : x
  2. Step 2: Convert to fraction form
    119,145.67/164,311.34 = 80,962.47/x
  3. Step 3: Cross multiply
    119,145.67x = 164,311.34 × 80,962.47
  4. Step 4: Simplify right side
    119,145.67x = 13,303,051,530.60
  5. Step 5: Solve for x
    x = 13,303,051,530.60/119,145.67
  6. Step 6: Final answer
    x = 111,653.67

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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.