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Finding the Fourth Proportional to 255,224.12, 382,893.28 and 77,745.12

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Solution

The fourth proportional to 255,224.12, 382,893.28 and 77,745.12 is: 116,635.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,224.12 : 382,893.28 = 77,745.12 : x
  2. Step 2: Convert to fraction form
    255,224.12/382,893.28 = 77,745.12/x
  3. Step 3: Cross multiply
    255,224.12x = 382,893.28 × 77,745.12
  4. Step 4: Simplify right side
    255,224.12x = 29,768,082,370.58
  5. Step 5: Solve for x
    x = 29,768,082,370.58/255,224.12
  6. Step 6: Final answer
    x = 116,635.07

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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.