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Finding the Fourth Proportional to 140,141.40, 210,212.10 and 108,648.60

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Solution

The fourth proportional to 140,141.40, 210,212.10 and 108,648.60 is: 162,972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,141.40 : 210,212.10 = 108,648.60 : x
  2. Step 2: Convert to fraction form
    140,141.40/210,212.10 = 108,648.60/x
  3. Step 3: Cross multiply
    140,141.40x = 210,212.10 × 108,648.60
  4. Step 4: Simplify right side
    140,141.40x = 22,839,250,368.06
  5. Step 5: Solve for x
    x = 22,839,250,368.06/140,141.40
  6. Step 6: Final answer
    x = 162,972.90

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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.