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Finding the Fourth Proportional to 142,708.66, 214,195.83 and 72,640.42

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Solution

The fourth proportional to 142,708.66, 214,195.83 and 72,640.42 is: 109,028.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,708.66 : 214,195.83 = 72,640.42 : x
  2. Step 2: Convert to fraction form
    142,708.66/214,195.83 = 72,640.42/x
  3. Step 3: Cross multiply
    142,708.66x = 214,195.83 × 72,640.42
  4. Step 4: Simplify right side
    142,708.66x = 15,559,275,053.45
  5. Step 5: Solve for x
    x = 15,559,275,053.45/142,708.66
  6. Step 6: Final answer
    x = 109,028.25

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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.