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Finding the Fourth Proportional to 146,823.40, 220,235.10 and 84,615.40

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Solution

The fourth proportional to 146,823.40, 220,235.10 and 84,615.40 is: 126,923.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,823.40 : 220,235.10 = 84,615.40 : x
  2. Step 2: Convert to fraction form
    146,823.40/220,235.10 = 84,615.40/x
  3. Step 3: Cross multiply
    146,823.40x = 220,235.10 × 84,615.40
  4. Step 4: Simplify right side
    146,823.40x = 18,635,281,080.54
  5. Step 5: Solve for x
    x = 18,635,281,080.54/146,823.40
  6. Step 6: Final answer
    x = 126,923.10

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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.