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Finding the Fourth Proportional to 221,036.55, 305,030.44 and 120,434.55

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Solution

The fourth proportional to 221,036.55, 305,030.44 and 120,434.55 is: 166,199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,036.55 : 305,030.44 = 120,434.55 : x
  2. Step 2: Convert to fraction form
    221,036.55/305,030.44 = 120,434.55/x
  3. Step 3: Cross multiply
    221,036.55x = 305,030.44 × 120,434.55
  4. Step 4: Simplify right side
    221,036.55x = 36,736,202,784.38
  5. Step 5: Solve for x
    x = 36,736,202,784.38/221,036.55
  6. Step 6: Final answer
    x = 166,199.68

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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.