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Finding the Fourth Proportional to 98,145.55, 147,218.38 and 31,585.68

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Solution

The fourth proportional to 98,145.55, 147,218.38 and 31,585.68 is: 47,378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,145.55 : 147,218.38 = 31,585.68 : x
  2. Step 2: Convert to fraction form
    98,145.55/147,218.38 = 31,585.68/x
  3. Step 3: Cross multiply
    98,145.55x = 147,218.38 × 31,585.68
  4. Step 4: Simplify right side
    98,145.55x = 4,649,992,640.80
  5. Step 5: Solve for x
    x = 4,649,992,640.80/98,145.55
  6. Step 6: Final answer
    x = 47,378.54

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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.