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Finding the Fourth Proportional to 172,780, 259,059.36 and 72,913.12

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Solution

The fourth proportional to 172,780, 259,059.36 and 72,913.12 is: 109,322.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,780 : 259,059.36 = 72,913.12 : x
  2. Step 2: Convert to fraction form
    172,780/259,059.36 = 72,913.12/x
  3. Step 3: Cross multiply
    172,780x = 259,059.36 × 72,913.12
  4. Step 4: Simplify right side
    172,780x = 18,888,826,202.80
  5. Step 5: Solve for x
    x = 18,888,826,202.80/172,780
  6. Step 6: Final answer
    x = 109,322.99

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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.