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Finding the Fourth Proportional to 255,690.64, 383,591.32 and 97,919.08

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Solution

The fourth proportional to 255,690.64, 383,591.32 and 97,919.08 is: 146,899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,690.64 : 383,591.32 = 97,919.08 : x
  2. Step 2: Convert to fraction form
    255,690.64/383,591.32 = 97,919.08/x
  3. Step 3: Cross multiply
    255,690.64x = 383,591.32 × 97,919.08
  4. Step 4: Simplify right side
    255,690.64x = 37,560,909,150.39
  5. Step 5: Solve for x
    x = 37,560,909,150.39/255,690.64
  6. Step 6: Final answer
    x = 146,899.82

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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.