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Finding the Fourth Proportional to 70,281.32, 105,434.78 and 33,345

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Solution

The fourth proportional to 70,281.32, 105,434.78 and 33,345 is: 50,023.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,281.32 : 105,434.78 = 33,345 : x
  2. Step 2: Convert to fraction form
    70,281.32/105,434.78 = 33,345/x
  3. Step 3: Cross multiply
    70,281.32x = 105,434.78 × 33,345
  4. Step 4: Simplify right side
    70,281.32x = 3,515,722,739.10
  5. Step 5: Solve for x
    x = 3,515,722,739.10/70,281.32
  6. Step 6: Final answer
    x = 50,023.57

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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.