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Finding the Fourth Proportional to 221,007.77, 304,990.76 and 120,405.77

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Solution

The fourth proportional to 221,007.77, 304,990.76 and 120,405.77 is: 166,159.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,007.77 : 304,990.76 = 120,405.77 : x
  2. Step 2: Convert to fraction form
    221,007.77/304,990.76 = 120,405.77/x
  3. Step 3: Cross multiply
    221,007.77x = 304,990.76 × 120,405.77
  4. Step 4: Simplify right side
    221,007.77x = 36,722,646,698.66
  5. Step 5: Solve for x
    x = 36,722,646,698.66/221,007.77
  6. Step 6: Final answer
    x = 166,159.98

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1.5x scale

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.