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Finding the Fourth Proportional to 200,538.90, 300,808.35 and 161,172.90

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Solution

The fourth proportional to 200,538.90, 300,808.35 and 161,172.90 is: 241,759.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,538.90 : 300,808.35 = 161,172.90 : x
  2. Step 2: Convert to fraction form
    200,538.90/300,808.35 = 161,172.90/x
  3. Step 3: Cross multiply
    200,538.90x = 300,808.35 × 161,172.90
  4. Step 4: Simplify right side
    200,538.90x = 48,482,154,113.72
  5. Step 5: Solve for x
    x = 48,482,154,113.72/200,538.90
  6. Step 6: Final answer
    x = 241,759.35

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1.5x scale

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.