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Finding the Fourth Proportional to 100,461.87, 150,692.83 and 78,291.86

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Solution

The fourth proportional to 100,461.87, 150,692.83 and 78,291.86 is: 117,437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,461.87 : 150,692.83 = 78,291.86 : x
  2. Step 2: Convert to fraction form
    100,461.87/150,692.83 = 78,291.86/x
  3. Step 3: Cross multiply
    100,461.87x = 150,692.83 × 78,291.86
  4. Step 4: Simplify right side
    100,461.87x = 11,798,021,000.17
  5. Step 5: Solve for x
    x = 11,798,021,000.17/100,461.87
  6. Step 6: Final answer
    x = 117,437.80

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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.