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Finding the Fourth Proportional to 171,384.72, 257,051.76 and 100,340.16

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Solution

The fourth proportional to 171,384.72, 257,051.76 and 100,340.16 is: 150,495.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,384.72 : 257,051.76 = 100,340.16 : x
  2. Step 2: Convert to fraction form
    171,384.72/257,051.76 = 100,340.16/x
  3. Step 3: Cross multiply
    171,384.72x = 257,051.76 × 100,340.16
  4. Step 4: Simplify right side
    171,384.72x = 25,792,614,726.68
  5. Step 5: Solve for x
    x = 25,792,614,726.68/171,384.72
  6. Step 6: Final answer
    x = 150,495.42

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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.