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Finding the Fourth Proportional to 86,609, 119,520.74 and 46,865

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Solution

The fourth proportional to 86,609, 119,520.74 and 46,865 is: 64,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,609 : 119,520.74 = 46,865 : x
  2. Step 2: Convert to fraction form
    86,609/119,520.74 = 46,865/x
  3. Step 3: Cross multiply
    86,609x = 119,520.74 × 46,865
  4. Step 4: Simplify right side
    86,609x = 5,601,339,480.10
  5. Step 5: Solve for x
    x = 5,601,339,480.10/86,609
  6. Step 6: Final answer
    x = 64,673.87

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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.