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Finding the Fourth Proportional to 455,987.86, 684,016.17 and 136,114.47

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Solution

The fourth proportional to 455,987.86, 684,016.17 and 136,114.47 is: 204,181.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,987.86 : 684,016.17 = 136,114.47 : x
  2. Step 2: Convert to fraction form
    455,987.86/684,016.17 = 136,114.47/x
  3. Step 3: Cross multiply
    455,987.86x = 684,016.17 × 136,114.47
  4. Step 4: Simplify right side
    455,987.86x = 93,104,498,450.98
  5. Step 5: Solve for x
    x = 93,104,498,450.98/455,987.86
  6. Step 6: Final answer
    x = 204,181.97

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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.