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Finding the Fourth Proportional to 52,246.64, 78,378 and 17,178.08

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Solution

The fourth proportional to 52,246.64, 78,378 and 17,178.08 is: 25,769.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,246.64 : 78,378 = 17,178.08 : x
  2. Step 2: Convert to fraction form
    52,246.64/78,378 = 17,178.08/x
  3. Step 3: Cross multiply
    52,246.64x = 78,378 × 17,178.08
  4. Step 4: Simplify right side
    52,246.64x = 1,346,383,554.24
  5. Step 5: Solve for x
    x = 1,346,383,554.24/52,246.64
  6. Step 6: Final answer
    x = 25,769.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.