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Finding the Fourth Proportional to 171,658.14, 257,436.81 and 66,451.98

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Solution

The fourth proportional to 171,658.14, 257,436.81 and 66,451.98 is: 99,658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,658.14 : 257,436.81 = 66,451.98 : x
  2. Step 2: Convert to fraction form
    171,658.14/257,436.81 = 66,451.98/x
  3. Step 3: Cross multiply
    171,658.14x = 257,436.81 × 66,451.98
  4. Step 4: Simplify right side
    171,658.14x = 17,107,185,749.38
  5. Step 5: Solve for x
    x = 17,107,185,749.38/171,658.14
  6. Step 6: Final answer
    x = 99,658.46

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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.