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Finding the Fourth Proportional to 140,396.85, 210,468.92 and 51,590.07

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Solution

The fourth proportional to 140,396.85, 210,468.92 and 51,590.07 is: 77,338.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,396.85 : 210,468.92 = 51,590.07 : x
  2. Step 2: Convert to fraction form
    140,396.85/210,468.92 = 51,590.07/x
  3. Step 3: Cross multiply
    140,396.85x = 210,468.92 × 51,590.07
  4. Step 4: Simplify right side
    140,396.85x = 10,858,106,057.67
  5. Step 5: Solve for x
    x = 10,858,106,057.67/140,396.85
  6. Step 6: Final answer
    x = 77,338.67

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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.