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Finding the Fourth Proportional to 78,586.38, 117,879.68 and 19,421.15

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Solution

The fourth proportional to 78,586.38, 117,879.68 and 19,421.15 is: 29,131.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,586.38 : 117,879.68 = 19,421.15 : x
  2. Step 2: Convert to fraction form
    78,586.38/117,879.68 = 19,421.15/x
  3. Step 3: Cross multiply
    78,586.38x = 117,879.68 × 19,421.15
  4. Step 4: Simplify right side
    78,586.38x = 2,289,358,947.23
  5. Step 5: Solve for x
    x = 2,289,358,947.23/78,586.38
  6. Step 6: Final answer
    x = 29,131.75

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1.5x scale

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.