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Finding the Fourth Proportional to 213,495.62, 320,134.73 and 71,289.77

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Solution

The fourth proportional to 213,495.62, 320,134.73 and 71,289.77 is: 106,898.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,495.62 : 320,134.73 = 71,289.77 : x
  2. Step 2: Convert to fraction form
    213,495.62/320,134.73 = 71,289.77/x
  3. Step 3: Cross multiply
    213,495.62x = 320,134.73 × 71,289.77
  4. Step 4: Simplify right side
    213,495.62x = 22,822,329,313.59
  5. Step 5: Solve for x
    x = 22,822,329,313.59/213,495.62
  6. Step 6: Final answer
    x = 106,898.35

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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.