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Finding the Fourth Proportional to 255,992.23, 383,973.99 and 78,498.75

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Solution

The fourth proportional to 255,992.23, 383,973.99 and 78,498.75 is: 117,743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,992.23 : 383,973.99 = 78,498.75 : x
  2. Step 2: Convert to fraction form
    255,992.23/383,973.99 = 78,498.75/x
  3. Step 3: Cross multiply
    255,992.23x = 383,973.99 × 78,498.75
  4. Step 4: Simplify right side
    255,992.23x = 30,141,477,855.02
  5. Step 5: Solve for x
    x = 30,141,477,855.02/255,992.23
  6. Step 6: Final answer
    x = 117,743.72

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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.