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Finding the Fourth Proportional to 221,308.34, 305,394.10 and 120,686.90

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Solution

The fourth proportional to 221,308.34, 305,394.10 and 120,686.90 is: 166,541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,308.34 : 305,394.10 = 120,686.90 : x
  2. Step 2: Convert to fraction form
    221,308.34/305,394.10 = 120,686.90/x
  3. Step 3: Cross multiply
    221,308.34x = 305,394.10 × 120,686.90
  4. Step 4: Simplify right side
    221,308.34x = 36,857,065,378.60
  5. Step 5: Solve for x
    x = 36,857,065,378.60/221,308.34
  6. Step 6: Final answer
    x = 166,541.70

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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.