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Finding the Fourth Proportional to 125,692.32, 188,489.06 and 45,711.30

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Solution

The fourth proportional to 125,692.32, 188,489.06 and 45,711.30 is: 68,548.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,692.32 : 188,489.06 = 45,711.30 : x
  2. Step 2: Convert to fraction form
    125,692.32/188,489.06 = 45,711.30/x
  3. Step 3: Cross multiply
    125,692.32x = 188,489.06 × 45,711.30
  4. Step 4: Simplify right side
    125,692.32x = 8,616,079,968.38
  5. Step 5: Solve for x
    x = 8,616,079,968.38/125,692.32
  6. Step 6: Final answer
    x = 68,548.98

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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.