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Finding the Fourth Proportional to 192,707.44, 289,124.02 and 86,078.40

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Solution

The fourth proportional to 192,707.44, 289,124.02 and 86,078.40 is: 129,145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,707.44 : 289,124.02 = 86,078.40 : x
  2. Step 2: Convert to fraction form
    192,707.44/289,124.02 = 86,078.40/x
  3. Step 3: Cross multiply
    192,707.44x = 289,124.02 × 86,078.40
  4. Step 4: Simplify right side
    192,707.44x = 24,887,333,043.17
  5. Step 5: Solve for x
    x = 24,887,333,043.17/192,707.44
  6. Step 6: Final answer
    x = 129,145.68

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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.