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Finding the Fourth Proportional to 171,625.80, 257,438.70 and 164,627.40

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Solution

The fourth proportional to 171,625.80, 257,438.70 and 164,627.40 is: 246,941.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,625.80 : 257,438.70 = 164,627.40 : x
  2. Step 2: Convert to fraction form
    171,625.80/257,438.70 = 164,627.40/x
  3. Step 3: Cross multiply
    171,625.80x = 257,438.70 × 164,627.40
  4. Step 4: Simplify right side
    171,625.80x = 42,381,463,840.38
  5. Step 5: Solve for x
    x = 42,381,463,840.38/171,625.80
  6. Step 6: Final answer
    x = 246,941.10

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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.