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Finding the Fourth Proportional to 142,723.60, 213,939.60 and 83,528.80

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Solution

The fourth proportional to 142,723.60, 213,939.60 and 83,528.80 is: 125,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,723.60 : 213,939.60 = 83,528.80 : x
  2. Step 2: Convert to fraction form
    142,723.60/213,939.60 = 83,528.80/x
  3. Step 3: Cross multiply
    142,723.60x = 213,939.60 × 83,528.80
  4. Step 4: Simplify right side
    142,723.60x = 17,870,118,060.48
  5. Step 5: Solve for x
    x = 17,870,118,060.48/142,723.60
  6. Step 6: Final answer
    x = 125,207.87

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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.