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Finding the Fourth Proportional to 199,641.60, 275,558.40 and 114,768

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Solution

The fourth proportional to 199,641.60, 275,558.40 and 114,768 is: 158,410.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,641.60 : 275,558.40 = 114,768 : x
  2. Step 2: Convert to fraction form
    199,641.60/275,558.40 = 114,768/x
  3. Step 3: Cross multiply
    199,641.60x = 275,558.40 × 114,768
  4. Step 4: Simplify right side
    199,641.60x = 31,625,286,451.20
  5. Step 5: Solve for x
    x = 31,625,286,451.20/199,641.60
  6. Step 6: Final answer
    x = 158,410.30

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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.