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Finding the Fourth Proportional to 146,200.40, 219,430.20 and 125,205.20

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Solution

The fourth proportional to 146,200.40, 219,430.20 and 125,205.20 is: 187,918.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,200.40 : 219,430.20 = 125,205.20 : x
  2. Step 2: Convert to fraction form
    146,200.40/219,430.20 = 125,205.20/x
  3. Step 3: Cross multiply
    146,200.40x = 219,430.20 × 125,205.20
  4. Step 4: Simplify right side
    146,200.40x = 27,473,802,077.04
  5. Step 5: Solve for x
    x = 27,473,802,077.04/146,200.40
  6. Step 6: Final answer
    x = 187,918.79

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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.