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Finding the Fourth Proportional to 120,054.53, 179,956.64 and 45,123.05

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Solution

The fourth proportional to 120,054.53, 179,956.64 and 45,123.05 is: 67,637.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,054.53 : 179,956.64 = 45,123.05 : x
  2. Step 2: Convert to fraction form
    120,054.53/179,956.64 = 45,123.05/x
  3. Step 3: Cross multiply
    120,054.53x = 179,956.64 × 45,123.05
  4. Step 4: Simplify right side
    120,054.53x = 8,120,191,677.58
  5. Step 5: Solve for x
    x = 8,120,191,677.58/120,054.53
  6. Step 6: Final answer
    x = 67,637.53

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1.5x scale

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.