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Finding the Fourth Proportional to 120,596.65, 166,270.43 and 86,182.49

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Solution

The fourth proportional to 120,596.65, 166,270.43 and 86,182.49 is: 118,822.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,596.65 : 166,270.43 = 86,182.49 : x
  2. Step 2: Convert to fraction form
    120,596.65/166,270.43 = 86,182.49/x
  3. Step 3: Cross multiply
    120,596.65x = 166,270.43 × 86,182.49
  4. Step 4: Simplify right side
    120,596.65x = 14,329,600,656.91
  5. Step 5: Solve for x
    x = 14,329,600,656.91/120,596.65
  6. Step 6: Final answer
    x = 118,822.55

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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.