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Finding the Fourth Proportional to 213,800.48, 295,075.98 and 123,138.80

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Solution

The fourth proportional to 213,800.48, 295,075.98 and 123,138.80 is: 169,949.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,800.48 : 295,075.98 = 123,138.80 : x
  2. Step 2: Convert to fraction form
    213,800.48/295,075.98 = 123,138.80/x
  3. Step 3: Cross multiply
    213,800.48x = 295,075.98 × 123,138.80
  4. Step 4: Simplify right side
    213,800.48x = 36,335,302,086.02
  5. Step 5: Solve for x
    x = 36,335,302,086.02/213,800.48
  6. Step 6: Final answer
    x = 169,949.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.