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Finding the Fourth Proportional to 140,001, 210,012.02 and 40,160.40

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Solution

The fourth proportional to 140,001, 210,012.02 and 40,160.40 is: 60,243.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,001 : 210,012.02 = 40,160.40 : x
  2. Step 2: Convert to fraction form
    140,001/210,012.02 = 40,160.40/x
  3. Step 3: Cross multiply
    140,001x = 210,012.02 × 40,160.40
  4. Step 4: Simplify right side
    140,001x = 8,434,166,728.01
  5. Step 5: Solve for x
    x = 8,434,166,728.01/140,001
  6. Step 6: Final answer
    x = 60,243.62

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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.