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Finding the Fourth Proportional to 270,172.53, 405,199.08 and 78,005.21

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Solution

The fourth proportional to 270,172.53, 405,199.08 and 78,005.21 is: 116,990.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,172.53 : 405,199.08 = 78,005.21 : x
  2. Step 2: Convert to fraction form
    270,172.53/405,199.08 = 78,005.21/x
  3. Step 3: Cross multiply
    270,172.53x = 405,199.08 × 78,005.21
  4. Step 4: Simplify right side
    270,172.53x = 31,607,639,327.21
  5. Step 5: Solve for x
    x = 31,607,639,327.21/270,172.53
  6. Step 6: Final answer
    x = 116,990.57

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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.