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Finding the Fourth Proportional to 146,952.40, 220,435.80 and 76,968.40

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Solution

The fourth proportional to 146,952.40, 220,435.80 and 76,968.40 is: 115,456.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,952.40 : 220,435.80 = 76,968.40 : x
  2. Step 2: Convert to fraction form
    146,952.40/220,435.80 = 76,968.40/x
  3. Step 3: Cross multiply
    146,952.40x = 220,435.80 × 76,968.40
  4. Step 4: Simplify right side
    146,952.40x = 16,966,590,828.72
  5. Step 5: Solve for x
    x = 16,966,590,828.72/146,952.40
  6. Step 6: Final answer
    x = 115,456.37

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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.