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Finding the Fourth Proportional to 120,509.52, 180,644.64 and 57,218.40

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Solution

The fourth proportional to 120,509.52, 180,644.64 and 57,218.40 is: 85,770.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,509.52 : 180,644.64 = 57,218.40 : x
  2. Step 2: Convert to fraction form
    120,509.52/180,644.64 = 57,218.40/x
  3. Step 3: Cross multiply
    120,509.52x = 180,644.64 × 57,218.40
  4. Step 4: Simplify right side
    120,509.52x = 10,336,197,269.38
  5. Step 5: Solve for x
    x = 10,336,197,269.38/120,509.52
  6. Step 6: Final answer
    x = 85,770.79

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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.