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Finding the Fourth Proportional to 221,483.10, 305,646.72 and 120,881.10

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Solution

The fourth proportional to 221,483.10, 305,646.72 and 120,881.10 is: 166,815.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,483.10 : 305,646.72 = 120,881.10 : x
  2. Step 2: Convert to fraction form
    221,483.10/305,646.72 = 120,881.10/x
  3. Step 3: Cross multiply
    221,483.10x = 305,646.72 × 120,881.10
  4. Step 4: Simplify right side
    221,483.10x = 36,946,911,724.99
  5. Step 5: Solve for x
    x = 36,946,911,724.99/221,483.10
  6. Step 6: Final answer
    x = 166,815.94

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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.