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Finding the Fourth Proportional to 143,175.96, 214,678.86 and 54,435.96

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Solution

The fourth proportional to 143,175.96, 214,678.86 and 54,435.96 is: 81,621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,175.96 : 214,678.86 = 54,435.96 : x
  2. Step 2: Convert to fraction form
    143,175.96/214,678.86 = 54,435.96/x
  3. Step 3: Cross multiply
    143,175.96x = 214,678.86 × 54,435.96
  4. Step 4: Simplify right side
    143,175.96x = 11,686,249,835.81
  5. Step 5: Solve for x
    x = 11,686,249,835.81/143,175.96
  6. Step 6: Final answer
    x = 81,621.59

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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.