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Finding the Fourth Proportional to 180,353.68, 270,555.12 and 75,148

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Solution

The fourth proportional to 180,353.68, 270,555.12 and 75,148 is: 112,732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,353.68 : 270,555.12 = 75,148 : x
  2. Step 2: Convert to fraction form
    180,353.68/270,555.12 = 75,148/x
  3. Step 3: Cross multiply
    180,353.68x = 270,555.12 × 75,148
  4. Step 4: Simplify right side
    180,353.68x = 20,331,676,157.76
  5. Step 5: Solve for x
    x = 20,331,676,157.76/180,353.68
  6. Step 6: Final answer
    x = 112,732.25

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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.