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Finding the Fourth Proportional to 221,404.39, 305,537.88 and 120,802.39

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Solution

The fourth proportional to 221,404.39, 305,537.88 and 120,802.39 is: 166,707.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,404.39 : 305,537.88 = 120,802.39 : x
  2. Step 2: Convert to fraction form
    221,404.39/305,537.88 = 120,802.39/x
  3. Step 3: Cross multiply
    221,404.39x = 305,537.88 × 120,802.39
  4. Step 4: Simplify right side
    221,404.39x = 36,909,706,139.53
  5. Step 5: Solve for x
    x = 36,909,706,139.53/221,404.39
  6. Step 6: Final answer
    x = 166,707.20

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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.