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Finding the Fourth Proportional to 221,089.08, 305,102.94 and 120,487

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Solution

The fourth proportional to 221,089.08, 305,102.94 and 120,487 is: 166,272.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,089.08 : 305,102.94 = 120,487 : x
  2. Step 2: Convert to fraction form
    221,089.08/305,102.94 = 120,487/x
  3. Step 3: Cross multiply
    221,089.08x = 305,102.94 × 120,487
  4. Step 4: Simplify right side
    221,089.08x = 36,760,937,931.78
  5. Step 5: Solve for x
    x = 36,760,937,931.78/221,089.08
  6. Step 6: Final answer
    x = 166,272.07

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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.