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Finding the Fourth Proportional to 117,692.50, 162,416.22 and 63,977.50

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Solution

The fourth proportional to 117,692.50, 162,416.22 and 63,977.50 is: 88,289.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,692.50 : 162,416.22 = 63,977.50 : x
  2. Step 2: Convert to fraction form
    117,692.50/162,416.22 = 63,977.50/x
  3. Step 3: Cross multiply
    117,692.50x = 162,416.22 × 63,977.50
  4. Step 4: Simplify right side
    117,692.50x = 10,390,983,715.05
  5. Step 5: Solve for x
    x = 10,390,983,715.05/117,692.50
  6. Step 6: Final answer
    x = 88,289.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.