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Finding the Fourth Proportional to 210,329.70, 315,822.60 and 121,756.20

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Solution

The fourth proportional to 210,329.70, 315,822.60 and 121,756.20 is: 182,824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,329.70 : 315,822.60 = 121,756.20 : x
  2. Step 2: Convert to fraction form
    210,329.70/315,822.60 = 121,756.20/x
  3. Step 3: Cross multiply
    210,329.70x = 315,822.60 × 121,756.20
  4. Step 4: Simplify right side
    210,329.70x = 38,453,359,650.12
  5. Step 5: Solve for x
    x = 38,453,359,650.12/210,329.70
  6. Step 6: Final answer
    x = 182,824.20

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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.