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Finding the Fourth Proportional to 78,695.50, 117,978.90 and 36,601.82

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Solution

The fourth proportional to 78,695.50, 117,978.90 and 36,601.82 is: 54,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,695.50 : 117,978.90 = 36,601.82 : x
  2. Step 2: Convert to fraction form
    78,695.50/117,978.90 = 36,601.82/x
  3. Step 3: Cross multiply
    78,695.50x = 117,978.90 × 36,601.82
  4. Step 4: Simplify right side
    78,695.50x = 4,318,242,461.60
  5. Step 5: Solve for x
    x = 4,318,242,461.60/78,695.50
  6. Step 6: Final answer
    x = 54,872.80

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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.