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Finding the Fourth Proportional to 30,005.70, 45,008.55 and 20,164.20

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Solution

The fourth proportional to 30,005.70, 45,008.55 and 20,164.20 is: 30,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.70 : 45,008.55 = 20,164.20 : x
  2. Step 2: Convert to fraction form
    30,005.70/45,008.55 = 20,164.20/x
  3. Step 3: Cross multiply
    30,005.70x = 45,008.55 × 20,164.20
  4. Step 4: Simplify right side
    30,005.70x = 907,561,403.91
  5. Step 5: Solve for x
    x = 907,561,403.91/30,005.70
  6. Step 6: Final answer
    x = 30,246.30

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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.