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Finding the Fourth Proportional to 78,477.70, 117,716.55 and 75,415.90

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Solution

The fourth proportional to 78,477.70, 117,716.55 and 75,415.90 is: 113,123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,477.70 : 117,716.55 = 75,415.90 : x
  2. Step 2: Convert to fraction form
    78,477.70/117,716.55 = 75,415.90/x
  3. Step 3: Cross multiply
    78,477.70x = 117,716.55 × 75,415.90
  4. Step 4: Simplify right side
    78,477.70x = 8,877,699,563.15
  5. Step 5: Solve for x
    x = 8,877,699,563.15/78,477.70
  6. Step 6: Final answer
    x = 113,123.85

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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.