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Finding the Fourth Proportional to 209,448, 289,036 and 124,563.20

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Solution

The fourth proportional to 209,448, 289,036 and 124,563.20 is: 171,895.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,448 : 289,036 = 124,563.20 : x
  2. Step 2: Convert to fraction form
    209,448/289,036 = 124,563.20/x
  3. Step 3: Cross multiply
    209,448x = 289,036 × 124,563.20
  4. Step 4: Simplify right side
    209,448x = 36,003,249,075.20
  5. Step 5: Solve for x
    x = 36,003,249,075.20/209,448
  6. Step 6: Final answer
    x = 171,895.88

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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.