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Finding the Fourth Proportional to 78,508.56, 117,692.67 and 28,553.45

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Solution

The fourth proportional to 78,508.56, 117,692.67 and 28,553.45 is: 42,804.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,508.56 : 117,692.67 = 28,553.45 : x
  2. Step 2: Convert to fraction form
    78,508.56/117,692.67 = 28,553.45/x
  3. Step 3: Cross multiply
    78,508.56x = 117,692.67 × 28,553.45
  4. Step 4: Simplify right side
    78,508.56x = 3,360,531,768.21
  5. Step 5: Solve for x
    x = 3,360,531,768.21/78,508.56
  6. Step 6: Final answer
    x = 42,804.65

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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.