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Finding the Fourth Proportional to 221,984, 306,339.20 and 142,496

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Solution

The fourth proportional to 221,984, 306,339.20 and 142,496 is: 196,645.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,984 : 306,339.20 = 142,496 : x
  2. Step 2: Convert to fraction form
    221,984/306,339.20 = 142,496/x
  3. Step 3: Cross multiply
    221,984x = 306,339.20 × 142,496
  4. Step 4: Simplify right side
    221,984x = 43,652,110,643.20
  5. Step 5: Solve for x
    x = 43,652,110,643.20/221,984
  6. Step 6: Final answer
    x = 196,645.30

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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.