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Finding the Fourth Proportional to 202,154.86, 302,986.32 and 143,007.58

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Solution

The fourth proportional to 202,154.86, 302,986.32 and 143,007.58 is: 214,337.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,154.86 : 302,986.32 = 143,007.58 : x
  2. Step 2: Convert to fraction form
    202,154.86/302,986.32 = 143,007.58/x
  3. Step 3: Cross multiply
    202,154.86x = 302,986.32 × 143,007.58
  4. Step 4: Simplify right side
    202,154.86x = 43,329,340,396.31
  5. Step 5: Solve for x
    x = 43,329,340,396.31/202,154.86
  6. Step 6: Final answer
    x = 214,337.37

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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.