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Finding the Fourth Proportional to 140,509.56, 210,846.78 and 51,824.88

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Solution

The fourth proportional to 140,509.56, 210,846.78 and 51,824.88 is: 77,767.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,509.56 : 210,846.78 = 51,824.88 : x
  2. Step 2: Convert to fraction form
    140,509.56/210,846.78 = 51,824.88/x
  3. Step 3: Cross multiply
    140,509.56x = 210,846.78 × 51,824.88
  4. Step 4: Simplify right side
    140,509.56x = 10,927,109,071.89
  5. Step 5: Solve for x
    x = 10,927,109,071.89/140,509.56
  6. Step 6: Final answer
    x = 77,767.73

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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.