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Finding the Fourth Proportional to 120,183.68, 180,384.42 and 64,070.84

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Solution

The fourth proportional to 120,183.68, 180,384.42 and 64,070.84 is: 96,164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,183.68 : 180,384.42 = 64,070.84 : x
  2. Step 2: Convert to fraction form
    120,183.68/180,384.42 = 64,070.84/x
  3. Step 3: Cross multiply
    120,183.68x = 180,384.42 × 64,070.84
  4. Step 4: Simplify right side
    120,183.68x = 11,557,381,312.31
  5. Step 5: Solve for x
    x = 11,557,381,312.31/120,183.68
  6. Step 6: Final answer
    x = 96,164.32

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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.