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Finding the Fourth Proportional to 213,230.29, 319,999.76 and 83,418.23

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Solution

The fourth proportional to 213,230.29, 319,999.76 and 83,418.23 is: 125,187.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,230.29 : 319,999.76 = 83,418.23 : x
  2. Step 2: Convert to fraction form
    213,230.29/319,999.76 = 83,418.23/x
  3. Step 3: Cross multiply
    213,230.29x = 319,999.76 × 83,418.23
  4. Step 4: Simplify right side
    213,230.29x = 26,693,813,579.62
  5. Step 5: Solve for x
    x = 26,693,813,579.62/213,230.29
  6. Step 6: Final answer
    x = 125,187.72

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1.5x scale

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.