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Finding the Fourth Proportional to 221,653.92, 306,216 and 145,354.08

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Solution

The fourth proportional to 221,653.92, 306,216 and 145,354.08 is: 200,807.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,653.92 : 306,216 = 145,354.08 : x
  2. Step 2: Convert to fraction form
    221,653.92/306,216 = 145,354.08/x
  3. Step 3: Cross multiply
    221,653.92x = 306,216 × 145,354.08
  4. Step 4: Simplify right side
    221,653.92x = 44,509,744,961.28
  5. Step 5: Solve for x
    x = 44,509,744,961.28/221,653.92
  6. Step 6: Final answer
    x = 200,807.39

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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.