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Finding the Fourth Proportional to 210,491.76, 315,635.31 and 70,203

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Solution

The fourth proportional to 210,491.76, 315,635.31 and 70,203 is: 105,270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,491.76 : 315,635.31 = 70,203 : x
  2. Step 2: Convert to fraction form
    210,491.76/315,635.31 = 70,203/x
  3. Step 3: Cross multiply
    210,491.76x = 315,635.31 × 70,203
  4. Step 4: Simplify right side
    210,491.76x = 22,158,545,667.93
  5. Step 5: Solve for x
    x = 22,158,545,667.93/210,491.76
  6. Step 6: Final answer
    x = 105,270.37

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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.