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Finding the Fourth Proportional to 109,407.90, 164,109.45 and 30,519.90

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Solution

The fourth proportional to 109,407.90, 164,109.45 and 30,519.90 is: 45,779.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,407.90 : 164,109.45 = 30,519.90 : x
  2. Step 2: Convert to fraction form
    109,407.90/164,109.45 = 30,519.90/x
  3. Step 3: Cross multiply
    109,407.90x = 164,109.45 × 30,519.90
  4. Step 4: Simplify right side
    109,407.90x = 5,008,604,003.06
  5. Step 5: Solve for x
    x = 5,008,604,003.06/109,407.90
  6. Step 6: Final answer
    x = 45,779.18

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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.