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Finding the Fourth Proportional to 255,833.01, 383,750.45 and 78,339.30

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Solution

The fourth proportional to 255,833.01, 383,750.45 and 78,339.30 is: 117,509.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,833.01 : 383,750.45 = 78,339.30 : x
  2. Step 2: Convert to fraction form
    255,833.01/383,750.45 = 78,339.30/x
  3. Step 3: Cross multiply
    255,833.01x = 383,750.45 × 78,339.30
  4. Step 4: Simplify right side
    255,833.01x = 30,062,741,235.99
  5. Step 5: Solve for x
    x = 30,062,741,235.99/255,833.01
  6. Step 6: Final answer
    x = 117,509.23

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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.