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Finding the Fourth Proportional to 109,742.40, 164,620.80 and 30,859.20

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Solution

The fourth proportional to 109,742.40, 164,620.80 and 30,859.20 is: 46,290.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,742.40 : 164,620.80 = 30,859.20 : x
  2. Step 2: Convert to fraction form
    109,742.40/164,620.80 = 30,859.20/x
  3. Step 3: Cross multiply
    109,742.40x = 164,620.80 × 30,859.20
  4. Step 4: Simplify right side
    109,742.40x = 5,080,066,191.36
  5. Step 5: Solve for x
    x = 5,080,066,191.36/109,742.40
  6. Step 6: Final answer
    x = 46,290.82

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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.