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Finding the Fourth Proportional to 172,046.64, 258,069.86 and 53,728.12

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Solution

The fourth proportional to 172,046.64, 258,069.86 and 53,728.12 is: 80,592.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,046.64 : 258,069.86 = 53,728.12 : x
  2. Step 2: Convert to fraction form
    172,046.64/258,069.86 = 53,728.12/x
  3. Step 3: Cross multiply
    172,046.64x = 258,069.86 × 53,728.12
  4. Step 4: Simplify right side
    172,046.64x = 13,865,608,406.46
  5. Step 5: Solve for x
    x = 13,865,608,406.46/172,046.64
  6. Step 6: Final answer
    x = 80,592.15

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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.