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Finding the Fourth Proportional to 200,412.60, 300,705.30 and 101,916.60

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Solution

The fourth proportional to 200,412.60, 300,705.30 and 101,916.60 is: 152,918.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,412.60 : 300,705.30 = 101,916.60 : x
  2. Step 2: Convert to fraction form
    200,412.60/300,705.30 = 101,916.60/x
  3. Step 3: Cross multiply
    200,412.60x = 300,705.30 × 101,916.60
  4. Step 4: Simplify right side
    200,412.60x = 30,646,861,777.98
  5. Step 5: Solve for x
    x = 30,646,861,777.98/200,412.60
  6. Step 6: Final answer
    x = 152,918.84

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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.