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Finding the Fourth Proportional to 255,902.75, 383,903.31 and 98,118.90

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Solution

The fourth proportional to 255,902.75, 383,903.31 and 98,118.90 is: 147,197.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,902.75 : 383,903.31 = 98,118.90 : x
  2. Step 2: Convert to fraction form
    255,902.75/383,903.31 = 98,118.90/x
  3. Step 3: Cross multiply
    255,902.75x = 383,903.31 × 98,118.90
  4. Step 4: Simplify right side
    255,902.75x = 37,668,169,219.86
  5. Step 5: Solve for x
    x = 37,668,169,219.86/255,902.75
  6. Step 6: Final answer
    x = 147,197.21

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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.