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Finding the Fourth Proportional to 142,722, 197,216.17 and 135,804.24

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Solution

The fourth proportional to 142,722, 197,216.17 and 135,804.24 is: 187,657.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,722 : 197,216.17 = 135,804.24 : x
  2. Step 2: Convert to fraction form
    142,722/197,216.17 = 135,804.24/x
  3. Step 3: Cross multiply
    142,722x = 197,216.17 × 135,804.24
  4. Step 4: Simplify right side
    142,722x = 26,782,791,743.05
  5. Step 5: Solve for x
    x = 26,782,791,743.05/142,722
  6. Step 6: Final answer
    x = 187,657.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.