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Finding the Fourth Proportional to 120,509.88, 180,665.46 and 57,304.92

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Solution

The fourth proportional to 120,509.88, 180,665.46 and 57,304.92 is: 85,910.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,509.88 : 180,665.46 = 57,304.92 : x
  2. Step 2: Convert to fraction form
    120,509.88/180,665.46 = 57,304.92/x
  3. Step 3: Cross multiply
    120,509.88x = 180,665.46 × 57,304.92
  4. Step 4: Simplify right side
    120,509.88x = 10,353,019,732.06
  5. Step 5: Solve for x
    x = 10,353,019,732.06/120,509.88
  6. Step 6: Final answer
    x = 85,910.13

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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.