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Finding the Fourth Proportional to 78,783.20, 118,261.20 and 49,234.40

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Solution

The fourth proportional to 78,783.20, 118,261.20 and 49,234.40 is: 73,905.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,783.20 : 118,261.20 = 49,234.40 : x
  2. Step 2: Convert to fraction form
    78,783.20/118,261.20 = 49,234.40/x
  3. Step 3: Cross multiply
    78,783.20x = 118,261.20 × 49,234.40
  4. Step 4: Simplify right side
    78,783.20x = 5,822,519,225.28
  5. Step 5: Solve for x
    x = 5,822,519,225.28/78,783.20
  6. Step 6: Final answer
    x = 73,905.59

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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.