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Finding the Fourth Proportional to 52,114.56, 78,171.84 and 12,671.42

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Solution

The fourth proportional to 52,114.56, 78,171.84 and 12,671.42 is: 19,007.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,114.56 : 78,171.84 = 12,671.42 : x
  2. Step 2: Convert to fraction form
    52,114.56/78,171.84 = 12,671.42/x
  3. Step 3: Cross multiply
    52,114.56x = 78,171.84 × 12,671.42
  4. Step 4: Simplify right side
    52,114.56x = 990,548,216.81
  5. Step 5: Solve for x
    x = 990,548,216.81/52,114.56
  6. Step 6: Final answer
    x = 19,007.13

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Why These Related Problems?

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