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Finding the Fourth Proportional to 210,329.20, 315,580.20 and 77,273.20

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Solution

The fourth proportional to 210,329.20, 315,580.20 and 77,273.20 is: 115,941.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,329.20 : 315,580.20 = 77,273.20 : x
  2. Step 2: Convert to fraction form
    210,329.20/315,580.20 = 77,273.20/x
  3. Step 3: Cross multiply
    210,329.20x = 315,580.20 × 77,273.20
  4. Step 4: Simplify right side
    210,329.20x = 24,385,891,910.64
  5. Step 5: Solve for x
    x = 24,385,891,910.64/210,329.20
  6. Step 6: Final answer
    x = 115,941.54

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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.