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Finding the Fourth Proportional to 221,790.48, 306,071.14 and 119,815.92

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Solution

The fourth proportional to 221,790.48, 306,071.14 and 119,815.92 is: 165,346.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,790.48 : 306,071.14 = 119,815.92 : x
  2. Step 2: Convert to fraction form
    221,790.48/306,071.14 = 119,815.92/x
  3. Step 3: Cross multiply
    221,790.48x = 306,071.14 × 119,815.92
  4. Step 4: Simplify right side
    221,790.48x = 36,672,195,224.55
  5. Step 5: Solve for x
    x = 36,672,195,224.55/221,790.48
  6. Step 6: Final answer
    x = 165,346.12

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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.