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Finding the Fourth Proportional to 221,199.90, 305,242.71 and 125,693.34

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Solution

The fourth proportional to 221,199.90, 305,242.71 and 125,693.34 is: 173,449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,199.90 : 305,242.71 = 125,693.34 : x
  2. Step 2: Convert to fraction form
    221,199.90/305,242.71 = 125,693.34/x
  3. Step 3: Cross multiply
    221,199.90x = 305,242.71 × 125,693.34
  4. Step 4: Simplify right side
    221,199.90x = 38,366,975,730.55
  5. Step 5: Solve for x
    x = 38,366,975,730.55/221,199.90
  6. Step 6: Final answer
    x = 173,449.34

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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.