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Finding the Fourth Proportional to 78,787.12, 118,181.12 and 19,622.80

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Solution

The fourth proportional to 78,787.12, 118,181.12 and 19,622.80 is: 29,434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,787.12 : 118,181.12 = 19,622.80 : x
  2. Step 2: Convert to fraction form
    78,787.12/118,181.12 = 19,622.80/x
  3. Step 3: Cross multiply
    78,787.12x = 118,181.12 × 19,622.80
  4. Step 4: Simplify right side
    78,787.12x = 2,319,044,186.08
  5. Step 5: Solve for x
    x = 2,319,044,186.08/78,787.12
  6. Step 6: Final answer
    x = 29,434.30

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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.