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Finding the Fourth Proportional to 100,421.01, 150,627.87 and 30,298.50

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Solution

The fourth proportional to 100,421.01, 150,627.87 and 30,298.50 is: 45,446.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,421.01 : 150,627.87 = 30,298.50 : x
  2. Step 2: Convert to fraction form
    100,421.01/150,627.87 = 30,298.50/x
  3. Step 3: Cross multiply
    100,421.01x = 150,627.87 × 30,298.50
  4. Step 4: Simplify right side
    100,421.01x = 4,563,798,519.20
  5. Step 5: Solve for x
    x = 4,563,798,519.20/100,421.01
  6. Step 6: Final answer
    x = 45,446.65

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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.