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Finding the Fourth Proportional to 221,424, 305,703.36 and 142,074.24

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Solution

The fourth proportional to 221,424, 305,703.36 and 142,074.24 is: 196,151.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,424 : 305,703.36 = 142,074.24 : x
  2. Step 2: Convert to fraction form
    221,424/305,703.36 = 142,074.24/x
  3. Step 3: Cross multiply
    221,424x = 305,703.36 × 142,074.24
  4. Step 4: Simplify right side
    221,424x = 43,432,572,537.45
  5. Step 5: Solve for x
    x = 43,432,572,537.45/221,424
  6. Step 6: Final answer
    x = 196,151.15

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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.