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Finding the Fourth Proportional to 255,407.58, 383,097.09 and 77,900.64

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Solution

The fourth proportional to 255,407.58, 383,097.09 and 77,900.64 is: 116,846.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,407.58 : 383,097.09 = 77,900.64 : x
  2. Step 2: Convert to fraction form
    255,407.58/383,097.09 = 77,900.64/x
  3. Step 3: Cross multiply
    255,407.58x = 383,097.09 × 77,900.64
  4. Step 4: Simplify right side
    255,407.58x = 29,843,507,348.65
  5. Step 5: Solve for x
    x = 29,843,507,348.65/255,407.58
  6. Step 6: Final answer
    x = 116,846.60

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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.