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Finding the Fourth Proportional to 255,709.26, 383,606.91 and 78,174.72

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Solution

The fourth proportional to 255,709.26, 383,606.91 and 78,174.72 is: 117,275.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,709.26 : 383,606.91 = 78,174.72 : x
  2. Step 2: Convert to fraction form
    255,709.26/383,606.91 = 78,174.72/x
  3. Step 3: Cross multiply
    255,709.26x = 383,606.91 × 78,174.72
  4. Step 4: Simplify right side
    255,709.26x = 29,988,362,779.32
  5. Step 5: Solve for x
    x = 29,988,362,779.32/255,709.26
  6. Step 6: Final answer
    x = 117,275.23

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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.