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Finding the Fourth Proportional to 98,144.55, 147,216.88 and 31,584.68

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Solution

The fourth proportional to 98,144.55, 147,216.88 and 31,584.68 is: 47,377.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,144.55 : 147,216.88 = 31,584.68 : x
  2. Step 2: Convert to fraction form
    98,144.55/147,216.88 = 31,584.68/x
  3. Step 3: Cross multiply
    98,144.55x = 147,216.88 × 31,584.68
  4. Step 4: Simplify right side
    98,144.55x = 4,649,797,230.35
  5. Step 5: Solve for x
    x = 4,649,797,230.35/98,144.55
  6. Step 6: Final answer
    x = 47,377.03

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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.