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Finding the Fourth Proportional to 192,808.31, 289,271.52 and 86,281.90

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Solution

The fourth proportional to 192,808.31, 289,271.52 and 86,281.90 is: 129,449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,808.31 : 289,271.52 = 86,281.90 : x
  2. Step 2: Convert to fraction form
    192,808.31/289,271.52 = 86,281.90/x
  3. Step 3: Cross multiply
    192,808.31x = 289,271.52 × 86,281.90
  4. Step 4: Simplify right side
    192,808.31x = 24,958,895,638.31
  5. Step 5: Solve for x
    x = 24,958,895,638.31/192,808.31
  6. Step 6: Final answer
    x = 129,449.28

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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.