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Finding the Fourth Proportional to 255,763.02, 383,700.73 and 78,283.72

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Solution

The fourth proportional to 255,763.02, 383,700.73 and 78,283.72 is: 117,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,763.02 : 383,700.73 = 78,283.72 : x
  2. Step 2: Convert to fraction form
    255,763.02/383,700.73 = 78,283.72/x
  3. Step 3: Cross multiply
    255,763.02x = 383,700.73 × 78,283.72
  4. Step 4: Simplify right side
    255,763.02x = 30,037,519,356.15
  5. Step 5: Solve for x
    x = 30,037,519,356.15/255,763.02
  6. Step 6: Final answer
    x = 117,442.78

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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.