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Finding the Fourth Proportional to 455,987.36, 684,015.42 and 136,113.96

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Solution

The fourth proportional to 455,987.36, 684,015.42 and 136,113.96 is: 204,181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,987.36 : 684,015.42 = 136,113.96 : x
  2. Step 2: Convert to fraction form
    455,987.36/684,015.42 = 136,113.96/x
  3. Step 3: Cross multiply
    455,987.36x = 684,015.42 × 136,113.96
  4. Step 4: Simplify right side
    455,987.36x = 93,104,047,517.26
  5. Step 5: Solve for x
    x = 93,104,047,517.26/455,987.36
  6. Step 6: Final answer
    x = 204,181.20

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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.