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Finding the Fourth Proportional to 146,239.56, 219,487.32 and 71,415

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Solution

The fourth proportional to 146,239.56, 219,487.32 and 71,415 is: 107,185.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,239.56 : 219,487.32 = 71,415 : x
  2. Step 2: Convert to fraction form
    146,239.56/219,487.32 = 71,415/x
  3. Step 3: Cross multiply
    146,239.56x = 219,487.32 × 71,415
  4. Step 4: Simplify right side
    146,239.56x = 15,674,686,957.80
  5. Step 5: Solve for x
    x = 15,674,686,957.80/146,239.56
  6. Step 6: Final answer
    x = 107,185.00

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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.