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Finding the Fourth Proportional to 255,690.90, 383,591.74 and 97,919.36

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Solution

The fourth proportional to 255,690.90, 383,591.74 and 97,919.36 is: 146,900.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,690.90 : 383,591.74 = 97,919.36 : x
  2. Step 2: Convert to fraction form
    255,690.90/383,591.74 = 97,919.36/x
  3. Step 3: Cross multiply
    255,690.90x = 383,591.74 × 97,919.36
  4. Step 4: Simplify right side
    255,690.90x = 37,561,057,682.09
  5. Step 5: Solve for x
    x = 37,561,057,682.09/255,690.90
  6. Step 6: Final answer
    x = 146,900.25

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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.