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Finding the Fourth Proportional to 120,970.81, 166,949.05 and 72,574.55

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Solution

The fourth proportional to 120,970.81, 166,949.05 and 72,574.55 is: 100,158.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,970.81 : 166,949.05 = 72,574.55 : x
  2. Step 2: Convert to fraction form
    120,970.81/166,949.05 = 72,574.55/x
  3. Step 3: Cross multiply
    120,970.81x = 166,949.05 × 72,574.55
  4. Step 4: Simplify right side
    120,970.81x = 12,116,252,176.68
  5. Step 5: Solve for x
    x = 12,116,252,176.68/120,970.81
  6. Step 6: Final answer
    x = 100,158.48

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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.