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Finding the Fourth Proportional to 143,012.68, 214,386.57 and 53,005.27

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Solution

The fourth proportional to 143,012.68, 214,386.57 and 53,005.27 is: 79,458.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,012.68 : 214,386.57 = 53,005.27 : x
  2. Step 2: Convert to fraction form
    143,012.68/214,386.57 = 53,005.27/x
  3. Step 3: Cross multiply
    143,012.68x = 214,386.57 × 53,005.27
  4. Step 4: Simplify right side
    143,012.68x = 11,363,618,027.22
  5. Step 5: Solve for x
    x = 11,363,618,027.22/143,012.68
  6. Step 6: Final answer
    x = 79,458.81

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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.