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Finding the Fourth Proportional to 210,092.40, 314,949.06 and 76,879.80

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Solution

The fourth proportional to 210,092.40, 314,949.06 and 76,879.80 is: 115,250.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,092.40 : 314,949.06 = 76,879.80 : x
  2. Step 2: Convert to fraction form
    210,092.40/314,949.06 = 76,879.80/x
  3. Step 3: Cross multiply
    210,092.40x = 314,949.06 × 76,879.80
  4. Step 4: Simplify right side
    210,092.40x = 24,213,220,742.99
  5. Step 5: Solve for x
    x = 24,213,220,742.99/210,092.40
  6. Step 6: Final answer
    x = 115,250.34

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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.