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Finding the Fourth Proportional to 120,324, 166,049.08 and 65,875.25

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Solution

The fourth proportional to 120,324, 166,049.08 and 65,875.25 is: 90,908.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,324 : 166,049.08 = 65,875.25 : x
  2. Step 2: Convert to fraction form
    120,324/166,049.08 = 65,875.25/x
  3. Step 3: Cross multiply
    120,324x = 166,049.08 × 65,875.25
  4. Step 4: Simplify right side
    120,324x = 10,938,524,657.27
  5. Step 5: Solve for x
    x = 10,938,524,657.27/120,324
  6. Step 6: Final answer
    x = 90,908.92

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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.