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Finding the Fourth Proportional to 125,770.20, 188,655.30 and 42,664.20

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Solution

The fourth proportional to 125,770.20, 188,655.30 and 42,664.20 is: 63,996.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,770.20 : 188,655.30 = 42,664.20 : x
  2. Step 2: Convert to fraction form
    125,770.20/188,655.30 = 42,664.20/x
  3. Step 3: Cross multiply
    125,770.20x = 188,655.30 × 42,664.20
  4. Step 4: Simplify right side
    125,770.20x = 8,048,827,450.26
  5. Step 5: Solve for x
    x = 8,048,827,450.26/125,770.20
  6. Step 6: Final answer
    x = 63,996.30

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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.