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Finding the Fourth Proportional to 255,911.60, 383,896.20 and 78,417.20

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Solution

The fourth proportional to 255,911.60, 383,896.20 and 78,417.20 is: 117,634.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,911.60 : 383,896.20 = 78,417.20 : x
  2. Step 2: Convert to fraction form
    255,911.60/383,896.20 = 78,417.20/x
  3. Step 3: Cross multiply
    255,911.60x = 383,896.20 × 78,417.20
  4. Step 4: Simplify right side
    255,911.60x = 30,104,065,094.64
  5. Step 5: Solve for x
    x = 30,104,065,094.64/255,911.60
  6. Step 6: Final answer
    x = 117,634.62

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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.