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Finding the Fourth Proportional to 139,767.42, 209,648.70 and 34,586.40

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Solution

The fourth proportional to 139,767.42, 209,648.70 and 34,586.40 is: 51,879.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,767.42 : 209,648.70 = 34,586.40 : x
  2. Step 2: Convert to fraction form
    139,767.42/209,648.70 = 34,586.40/x
  3. Step 3: Cross multiply
    139,767.42x = 209,648.70 × 34,586.40
  4. Step 4: Simplify right side
    139,767.42x = 7,250,993,797.68
  5. Step 5: Solve for x
    x = 7,250,993,797.68/139,767.42
  6. Step 6: Final answer
    x = 51,879.00

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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.