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Finding the Fourth Proportional to 100,676.08, 151,014.60 and 30,556

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Solution

The fourth proportional to 100,676.08, 151,014.60 and 30,556 is: 45,834.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,676.08 : 151,014.60 = 30,556 : x
  2. Step 2: Convert to fraction form
    100,676.08/151,014.60 = 30,556/x
  3. Step 3: Cross multiply
    100,676.08x = 151,014.60 × 30,556
  4. Step 4: Simplify right side
    100,676.08x = 4,614,402,117.60
  5. Step 5: Solve for x
    x = 4,614,402,117.60/100,676.08
  6. Step 6: Final answer
    x = 45,834.15

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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.