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Finding the Fourth Proportional to 218,825.25, 301,978.85 and 118,223.25

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Solution

The fourth proportional to 218,825.25, 301,978.85 and 118,223.25 is: 163,148.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,825.25 : 301,978.85 = 118,223.25 : x
  2. Step 2: Convert to fraction form
    218,825.25/301,978.85 = 118,223.25/x
  3. Step 3: Cross multiply
    218,825.25x = 301,978.85 × 118,223.25
  4. Step 4: Simplify right side
    218,825.25x = 35,700,920,487.15
  5. Step 5: Solve for x
    x = 35,700,920,487.15/218,825.25
  6. Step 6: Final answer
    x = 163,148.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.