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Finding the Fourth Proportional to 210,209.45, 315,161.42 and 83,811.78

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Solution

The fourth proportional to 210,209.45, 315,161.42 and 83,811.78 is: 125,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,209.45 : 315,161.42 = 83,811.78 : x
  2. Step 2: Convert to fraction form
    210,209.45/315,161.42 = 83,811.78/x
  3. Step 3: Cross multiply
    210,209.45x = 315,161.42 × 83,811.78
  4. Step 4: Simplify right side
    210,209.45x = 26,414,239,492.76
  5. Step 5: Solve for x
    x = 26,414,239,492.76/210,209.45
  6. Step 6: Final answer
    x = 125,656.77

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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.