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Finding the Fourth Proportional to 139,357.87, 192,313.92 and 75,697

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Solution

The fourth proportional to 139,357.87, 192,313.92 and 75,697 is: 104,461.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,357.87 : 192,313.92 = 75,697 : x
  2. Step 2: Convert to fraction form
    139,357.87/192,313.92 = 75,697/x
  3. Step 3: Cross multiply
    139,357.87x = 192,313.92 × 75,697
  4. Step 4: Simplify right side
    139,357.87x = 14,557,586,802.24
  5. Step 5: Solve for x
    x = 14,557,586,802.24/139,357.87
  6. Step 6: Final answer
    x = 104,461.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.