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Finding the Fourth Proportional to 52,282.44, 78,422.94 and 12,839.40

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Solution

The fourth proportional to 52,282.44, 78,422.94 and 12,839.40 is: 19,258.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,282.44 : 78,422.94 = 12,839.40 : x
  2. Step 2: Convert to fraction form
    52,282.44/78,422.94 = 12,839.40/x
  3. Step 3: Cross multiply
    52,282.44x = 78,422.94 × 12,839.40
  4. Step 4: Simplify right side
    52,282.44x = 1,006,903,495.84
  5. Step 5: Solve for x
    x = 1,006,903,495.84/52,282.44
  6. Step 6: Final answer
    x = 19,258.92

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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.