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Finding the Fourth Proportional to 180,557.82, 270,692.15 and 85,740.03

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Solution

The fourth proportional to 180,557.82, 270,692.15 and 85,740.03 is: 128,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,557.82 : 270,692.15 = 85,740.03 : x
  2. Step 2: Convert to fraction form
    180,557.82/270,692.15 = 85,740.03/x
  3. Step 3: Cross multiply
    180,557.82x = 270,692.15 × 85,740.03
  4. Step 4: Simplify right side
    180,557.82x = 23,209,152,633.06
  5. Step 5: Solve for x
    x = 23,209,152,633.06/180,557.82
  6. Step 6: Final answer
    x = 128,541.39

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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.