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Finding the Fourth Proportional to 140,523.40, 210,712.20 and 51,731.20

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Solution

The fourth proportional to 140,523.40, 210,712.20 and 51,731.20 is: 77,569.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,523.40 : 210,712.20 = 51,731.20 : x
  2. Step 2: Convert to fraction form
    140,523.40/210,712.20 = 51,731.20/x
  3. Step 3: Cross multiply
    140,523.40x = 210,712.20 × 51,731.20
  4. Step 4: Simplify right side
    140,523.40x = 10,900,394,960.64
  5. Step 5: Solve for x
    x = 10,900,394,960.64/140,523.40
  6. Step 6: Final answer
    x = 77,569.96

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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.