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Finding the Fourth Proportional to 171,870.56, 257,776.10 and 45,512.62

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Solution

The fourth proportional to 171,870.56, 257,776.10 and 45,512.62 is: 68,261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,870.56 : 257,776.10 = 45,512.62 : x
  2. Step 2: Convert to fraction form
    171,870.56/257,776.10 = 45,512.62/x
  3. Step 3: Cross multiply
    171,870.56x = 257,776.10 × 45,512.62
  4. Step 4: Simplify right side
    171,870.56x = 11,732,065,684.38
  5. Step 5: Solve for x
    x = 11,732,065,684.38/171,870.56
  6. Step 6: Final answer
    x = 68,261.05

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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.