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Finding the Fourth Proportional to 30,291.80, 45,415.01 and 20,905.00

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Solution

The fourth proportional to 30,291.80, 45,415.01 and 20,905.00 is: 31,341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291.80 : 45,415.01 = 20,905.00 : x
  2. Step 2: Convert to fraction form
    30,291.80/45,415.01 = 20,905.00/x
  3. Step 3: Cross multiply
    30,291.80x = 45,415.01 × 20,905.00
  4. Step 4: Simplify right side
    30,291.80x = 949,400,722.77
  5. Step 5: Solve for x
    x = 949,400,722.77/30,291.80
  6. Step 6: Final answer
    x = 31,341.84

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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.