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Finding the Fourth Proportional to 120,639.74, 180,775.03 and 64,487.81

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Solution

The fourth proportional to 120,639.74, 180,775.03 and 64,487.81 is: 96,633.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,639.74 : 180,775.03 = 64,487.81 : x
  2. Step 2: Convert to fraction form
    120,639.74/180,775.03 = 64,487.81/x
  3. Step 3: Cross multiply
    120,639.74x = 180,775.03 × 64,487.81
  4. Step 4: Simplify right side
    120,639.74x = 11,657,785,787.38
  5. Step 5: Solve for x
    x = 11,657,785,787.38/120,639.74
  6. Step 6: Final answer
    x = 96,633.05

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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.