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Finding the Fourth Proportional to 255,855.76, 383,784.64 and 78,362.08

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Solution

The fourth proportional to 255,855.76, 383,784.64 and 78,362.08 is: 117,543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,855.76 : 383,784.64 = 78,362.08 : x
  2. Step 2: Convert to fraction form
    255,855.76/383,784.64 = 78,362.08/x
  3. Step 3: Cross multiply
    255,855.76x = 383,784.64 × 78,362.08
  4. Step 4: Simplify right side
    255,855.76x = 30,074,162,662.45
  5. Step 5: Solve for x
    x = 30,074,162,662.45/255,855.76
  6. Step 6: Final answer
    x = 117,543.43

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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.