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Finding the Fourth Proportional to 103,692.80, 143,019.67 and 78,200.24

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Solution

The fourth proportional to 103,692.80, 143,019.67 and 78,200.24 is: 107,858.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,692.80 : 143,019.67 = 78,200.24 : x
  2. Step 2: Convert to fraction form
    103,692.80/143,019.67 = 78,200.24/x
  3. Step 3: Cross multiply
    103,692.80x = 143,019.67 × 78,200.24
  4. Step 4: Simplify right side
    103,692.80x = 11,184,172,559.23
  5. Step 5: Solve for x
    x = 11,184,172,559.23/103,692.80
  6. Step 6: Final answer
    x = 107,858.72

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1.5x scale

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.