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Finding the Fourth Proportional to 221,109.47, 305,139.53 and 120,507.47

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Solution

The fourth proportional to 221,109.47, 305,139.53 and 120,507.47 is: 166,304.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,109.47 : 305,139.53 = 120,507.47 : x
  2. Step 2: Convert to fraction form
    221,109.47/305,139.53 = 120,507.47/x
  3. Step 3: Cross multiply
    221,109.47x = 305,139.53 × 120,507.47
  4. Step 4: Simplify right side
    221,109.47x = 36,771,592,757.29
  5. Step 5: Solve for x
    x = 36,771,592,757.29/221,109.47
  6. Step 6: Final answer
    x = 166,304.92

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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.