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Finding the Fourth Proportional to 210,425.09, 315,647 and 77,232.69

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Solution

The fourth proportional to 210,425.09, 315,647 and 77,232.69 is: 115,852.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,425.09 : 315,647 = 77,232.69 : x
  2. Step 2: Convert to fraction form
    210,425.09/315,647 = 77,232.69/x
  3. Step 3: Cross multiply
    210,425.09x = 315,647 × 77,232.69
  4. Step 4: Simplify right side
    210,425.09x = 24,378,266,900.43
  5. Step 5: Solve for x
    x = 24,378,266,900.43/210,425.09
  6. Step 6: Final answer
    x = 115,852.47

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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.