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Finding the Fourth Proportional to 190,143.94, 285,254 and 70,201.64

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Solution

The fourth proportional to 190,143.94, 285,254 and 70,201.64 is: 105,316.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,143.94 : 285,254 = 70,201.64 : x
  2. Step 2: Convert to fraction form
    190,143.94/285,254 = 70,201.64/x
  3. Step 3: Cross multiply
    190,143.94x = 285,254 × 70,201.64
  4. Step 4: Simplify right side
    190,143.94x = 20,025,298,616.56
  5. Step 5: Solve for x
    x = 20,025,298,616.56/190,143.94
  6. Step 6: Final answer
    x = 105,316.52

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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.