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Finding the Fourth Proportional to 100,432.98, 150,650.64 and 30,315.24

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Solution

The fourth proportional to 100,432.98, 150,650.64 and 30,315.24 is: 45,473.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,432.98 : 150,650.64 = 30,315.24 : x
  2. Step 2: Convert to fraction form
    100,432.98/150,650.64 = 30,315.24/x
  3. Step 3: Cross multiply
    100,432.98x = 150,650.64 × 30,315.24
  4. Step 4: Simplify right side
    100,432.98x = 4,567,010,307.75
  5. Step 5: Solve for x
    x = 4,567,010,307.75/100,432.98
  6. Step 6: Final answer
    x = 45,473.21

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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.