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Finding the Fourth Proportional to 127,564.50, 191,354.85 and 38,824.56

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Solution

The fourth proportional to 127,564.50, 191,354.85 and 38,824.56 is: 58,239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,564.50 : 191,354.85 = 38,824.56 : x
  2. Step 2: Convert to fraction form
    127,564.50/191,354.85 = 38,824.56/x
  3. Step 3: Cross multiply
    127,564.50x = 191,354.85 × 38,824.56
  4. Step 4: Simplify right side
    127,564.50x = 7,429,267,855.12
  5. Step 5: Solve for x
    x = 7,429,267,855.12/127,564.50
  6. Step 6: Final answer
    x = 58,239.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.