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Finding the Fourth Proportional to 210,539.79, 315,811.07 and 84,190.69

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Solution

The fourth proportional to 210,539.79, 315,811.07 and 84,190.69 is: 126,286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,539.79 : 315,811.07 = 84,190.69 : x
  2. Step 2: Convert to fraction form
    210,539.79/315,811.07 = 84,190.69/x
  3. Step 3: Cross multiply
    210,539.79x = 315,811.07 × 84,190.69
  4. Step 4: Simplify right side
    210,539.79x = 26,588,352,182.46
  5. Step 5: Solve for x
    x = 26,588,352,182.46/210,539.79
  6. Step 6: Final answer
    x = 126,286.59

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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.