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Finding the Fourth Proportional to 172,020, 257,963.64 and 66,825.12

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Solution

The fourth proportional to 172,020, 257,963.64 and 66,825.12 is: 100,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,020 : 257,963.64 = 66,825.12 : x
  2. Step 2: Convert to fraction form
    172,020/257,963.64 = 66,825.12/x
  3. Step 3: Cross multiply
    172,020x = 257,963.64 × 66,825.12
  4. Step 4: Simplify right side
    172,020x = 17,238,451,198.64
  5. Step 5: Solve for x
    x = 17,238,451,198.64/172,020
  6. Step 6: Final answer
    x = 100,211.90

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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.