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Finding the Fourth Proportional to 120,390.54, 180,599.64 and 70,471.09

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Solution

The fourth proportional to 120,390.54, 180,599.64 and 70,471.09 is: 105,714.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,390.54 : 180,599.64 = 70,471.09 : x
  2. Step 2: Convert to fraction form
    120,390.54/180,599.64 = 70,471.09/x
  3. Step 3: Cross multiply
    120,390.54x = 180,599.64 × 70,471.09
  4. Step 4: Simplify right side
    120,390.54x = 12,727,053,484.41
  5. Step 5: Solve for x
    x = 12,727,053,484.41/120,390.54
  6. Step 6: Final answer
    x = 105,714.73

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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.