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Finding the Fourth Proportional to 171,584.68, 257,305.74 and 66,343

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Solution

The fourth proportional to 171,584.68, 257,305.74 and 66,343 is: 99,486.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,584.68 : 257,305.74 = 66,343 : x
  2. Step 2: Convert to fraction form
    171,584.68/257,305.74 = 66,343/x
  3. Step 3: Cross multiply
    171,584.68x = 257,305.74 × 66,343
  4. Step 4: Simplify right side
    171,584.68x = 17,070,434,708.82
  5. Step 5: Solve for x
    x = 17,070,434,708.82/171,584.68
  6. Step 6: Final answer
    x = 99,486.94

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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.