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Finding the Fourth Proportional to 255,855.82, 383,784.60 and 78,362.02

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Solution

The fourth proportional to 255,855.82, 383,784.60 and 78,362.02 is: 117,543.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,855.82 : 383,784.60 = 78,362.02 : x
  2. Step 2: Convert to fraction form
    255,855.82/383,784.60 = 78,362.02/x
  3. Step 3: Cross multiply
    255,855.82x = 383,784.60 × 78,362.02
  4. Step 4: Simplify right side
    255,855.82x = 30,074,136,500.89
  5. Step 5: Solve for x
    x = 30,074,136,500.89/255,855.82
  6. Step 6: Final answer
    x = 117,543.30

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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.