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Finding the Fourth Proportional to 171,758.64, 257,639.40 and 47,100.72

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Solution

The fourth proportional to 171,758.64, 257,639.40 and 47,100.72 is: 70,651.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,758.64 : 257,639.40 = 47,100.72 : x
  2. Step 2: Convert to fraction form
    171,758.64/257,639.40 = 47,100.72/x
  3. Step 3: Cross multiply
    171,758.64x = 257,639.40 × 47,100.72
  4. Step 4: Simplify right side
    171,758.64x = 12,135,001,240.37
  5. Step 5: Solve for x
    x = 12,135,001,240.37/171,758.64
  6. Step 6: Final answer
    x = 70,651.47

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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.