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Finding the Fourth Proportional to 147,448, 203,408.16 and 99,718.08

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Solution

The fourth proportional to 147,448, 203,408.16 and 99,718.08 is: 137,563.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,448 : 203,408.16 = 99,718.08 : x
  2. Step 2: Convert to fraction form
    147,448/203,408.16 = 99,718.08/x
  3. Step 3: Cross multiply
    147,448x = 203,408.16 × 99,718.08
  4. Step 4: Simplify right side
    147,448x = 20,283,471,171.53
  5. Step 5: Solve for x
    x = 20,283,471,171.53/147,448
  6. Step 6: Final answer
    x = 137,563.56

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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.