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Finding the Fourth Proportional to 221,404.89, 305,538.57 and 120,802.89

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Solution

The fourth proportional to 221,404.89, 305,538.57 and 120,802.89 is: 166,707.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,404.89 : 305,538.57 = 120,802.89 : x
  2. Step 2: Convert to fraction form
    221,404.89/305,538.57 = 120,802.89/x
  3. Step 3: Cross multiply
    221,404.89x = 305,538.57 × 120,802.89
  4. Step 4: Simplify right side
    221,404.89x = 36,909,942,262.47
  5. Step 5: Solve for x
    x = 36,909,942,262.47/221,404.89
  6. Step 6: Final answer
    x = 166,707.89

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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.