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Finding the Fourth Proportional to 143,157, 214,668.84 and 53,137.08

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Solution

The fourth proportional to 143,157, 214,668.84 and 53,137.08 is: 79,680.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,157 : 214,668.84 = 53,137.08 : x
  2. Step 2: Convert to fraction form
    143,157/214,668.84 = 53,137.08/x
  3. Step 3: Cross multiply
    143,157x = 214,668.84 × 53,137.08
  4. Step 4: Simplify right side
    143,157x = 11,406,875,324.59
  5. Step 5: Solve for x
    x = 11,406,875,324.59/143,157
  6. Step 6: Final answer
    x = 79,680.88

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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.