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Finding the Fourth Proportional to 70,284.08, 105,426.12 and 20,364.20

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Solution

The fourth proportional to 70,284.08, 105,426.12 and 20,364.20 is: 30,546.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,284.08 : 105,426.12 = 20,364.20 : x
  2. Step 2: Convert to fraction form
    70,284.08/105,426.12 = 20,364.20/x
  3. Step 3: Cross multiply
    70,284.08x = 105,426.12 × 20,364.20
  4. Step 4: Simplify right side
    70,284.08x = 2,146,918,977.78
  5. Step 5: Solve for x
    x = 2,146,918,977.78/70,284.08
  6. Step 6: Final answer
    x = 30,546.31

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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.