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Finding the Fourth Proportional to 69,406, 95,778.51 and 38,779.32

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Solution

The fourth proportional to 69,406, 95,778.51 and 38,779.32 is: 53,514.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,406 : 95,778.51 = 38,779.32 : x
  2. Step 2: Convert to fraction form
    69,406/95,778.51 = 38,779.32/x
  3. Step 3: Cross multiply
    69,406x = 95,778.51 × 38,779.32
  4. Step 4: Simplify right side
    69,406x = 3,714,225,488.41
  5. Step 5: Solve for x
    x = 3,714,225,488.41/69,406
  6. Step 6: Final answer
    x = 53,514.47

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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.