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Finding the Fourth Proportional to 30,632.82, 45,869.01 and 20,069.61

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Solution

The fourth proportional to 30,632.82, 45,869.01 and 20,069.61 is: 30,051.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,632.82 : 45,869.01 = 20,069.61 : x
  2. Step 2: Convert to fraction form
    30,632.82/45,869.01 = 20,069.61/x
  3. Step 3: Cross multiply
    30,632.82x = 45,869.01 × 20,069.61
  4. Step 4: Simplify right side
    30,632.82x = 920,573,141.79
  5. Step 5: Solve for x
    x = 920,573,141.79/30,632.82
  6. Step 6: Final answer
    x = 30,051.86

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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.