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Finding the Fourth Proportional to 201,822.60, 302,770.62 and 83,429.64

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Solution

The fourth proportional to 201,822.60, 302,770.62 and 83,429.64 is: 125,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,822.60 : 302,770.62 = 83,429.64 : x
  2. Step 2: Convert to fraction form
    201,822.60/302,770.62 = 83,429.64/x
  3. Step 3: Cross multiply
    201,822.60x = 302,770.62 × 83,429.64
  4. Step 4: Simplify right side
    201,822.60x = 25,260,043,829.18
  5. Step 5: Solve for x
    x = 25,260,043,829.18/201,822.60
  6. Step 6: Final answer
    x = 125,159.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.