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Finding the Fourth Proportional to 201,343.80, 302,015.70 and 61,109.40

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Solution

The fourth proportional to 201,343.80, 302,015.70 and 61,109.40 is: 91,664.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,343.80 : 302,015.70 = 61,109.40 : x
  2. Step 2: Convert to fraction form
    201,343.80/302,015.70 = 61,109.40/x
  3. Step 3: Cross multiply
    201,343.80x = 302,015.70 × 61,109.40
  4. Step 4: Simplify right side
    201,343.80x = 18,455,998,217.58
  5. Step 5: Solve for x
    x = 18,455,998,217.58/201,343.80
  6. Step 6: Final answer
    x = 91,664.10

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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.