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Finding the Fourth Proportional to 180,002.90, 269,421.15 and 127,514.90

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Solution

The fourth proportional to 180,002.90, 269,421.15 and 127,514.90 is: 190,859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,002.90 : 269,421.15 = 127,514.90 : x
  2. Step 2: Convert to fraction form
    180,002.90/269,421.15 = 127,514.90/x
  3. Step 3: Cross multiply
    180,002.90x = 269,421.15 × 127,514.90
  4. Step 4: Simplify right side
    180,002.90x = 34,355,211,000.14
  5. Step 5: Solve for x
    x = 34,355,211,000.14/180,002.90
  6. Step 6: Final answer
    x = 190,859.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.