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Finding the Fourth Proportional to 190,201.80, 285,302.70 and 111,275.40

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Solution

The fourth proportional to 190,201.80, 285,302.70 and 111,275.40 is: 166,913.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,201.80 : 285,302.70 = 111,275.40 : x
  2. Step 2: Convert to fraction form
    190,201.80/285,302.70 = 111,275.40/x
  3. Step 3: Cross multiply
    190,201.80x = 285,302.70 × 111,275.40
  4. Step 4: Simplify right side
    190,201.80x = 31,747,172,063.58
  5. Step 5: Solve for x
    x = 31,747,172,063.58/190,201.80
  6. Step 6: Final answer
    x = 166,913.10

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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.