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Finding the Fourth Proportional to 142,797.24, 197,065.44 and 86,197.68

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Solution

The fourth proportional to 142,797.24, 197,065.44 and 86,197.68 is: 118,955.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,797.24 : 197,065.44 = 86,197.68 : x
  2. Step 2: Convert to fraction form
    142,797.24/197,065.44 = 86,197.68/x
  3. Step 3: Cross multiply
    142,797.24x = 197,065.44 × 86,197.68
  4. Step 4: Simplify right side
    142,797.24x = 16,986,583,736.18
  5. Step 5: Solve for x
    x = 16,986,583,736.18/142,797.24
  6. Step 6: Final answer
    x = 118,955.97

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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.