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Finding the Fourth Proportional to 70,432.26, 105,682.56 and 30,984.25

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Solution

The fourth proportional to 70,432.26, 105,682.56 and 30,984.25 is: 46,491.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,432.26 : 105,682.56 = 30,984.25 : x
  2. Step 2: Convert to fraction form
    70,432.26/105,682.56 = 30,984.25/x
  3. Step 3: Cross multiply
    70,432.26x = 105,682.56 × 30,984.25
  4. Step 4: Simplify right side
    70,432.26x = 3,274,494,595.47
  5. Step 5: Solve for x
    x = 3,274,494,595.47/70,432.26
  6. Step 6: Final answer
    x = 46,491.40

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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.