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Finding the Fourth Proportional to 78,421.64, 117,633 and 19,257.80

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Solution

The fourth proportional to 78,421.64, 117,633 and 19,257.80 is: 28,886.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,421.64 : 117,633 = 19,257.80 : x
  2. Step 2: Convert to fraction form
    78,421.64/117,633 = 19,257.80/x
  3. Step 3: Cross multiply
    78,421.64x = 117,633 × 19,257.80
  4. Step 4: Simplify right side
    78,421.64x = 2,265,352,787.40
  5. Step 5: Solve for x
    x = 2,265,352,787.40/78,421.64
  6. Step 6: Final answer
    x = 28,886.83

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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.