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Finding the Fourth Proportional to 210,492.72, 315,975.71 and 84,222.07

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Solution

The fourth proportional to 210,492.72, 315,975.71 and 84,222.07 is: 126,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,492.72 : 315,975.71 = 84,222.07 : x
  2. Step 2: Convert to fraction form
    210,492.72/315,975.71 = 84,222.07/x
  3. Step 3: Cross multiply
    210,492.72x = 315,975.71 × 84,222.07
  4. Step 4: Simplify right side
    210,492.72x = 26,612,127,786.54
  5. Step 5: Solve for x
    x = 26,612,127,786.54/210,492.72
  6. Step 6: Final answer
    x = 126,427.78

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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.