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Finding the Fourth Proportional to 100,921, 151,378.62 and 30,790.12

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Solution

The fourth proportional to 100,921, 151,378.62 and 30,790.12 is: 46,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,921 : 151,378.62 = 30,790.12 : x
  2. Step 2: Convert to fraction form
    100,921/151,378.62 = 30,790.12/x
  3. Step 3: Cross multiply
    100,921x = 151,378.62 × 30,790.12
  4. Step 4: Simplify right side
    100,921x = 4,660,965,875.23
  5. Step 5: Solve for x
    x = 4,660,965,875.23/100,921
  6. Step 6: Final answer
    x = 46,184.30

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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.