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Finding the Fourth Proportional to 171,632.76, 257,270.40 and 57,696

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Solution

The fourth proportional to 171,632.76, 257,270.40 and 57,696 is: 86,483.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,632.76 : 257,270.40 = 57,696 : x
  2. Step 2: Convert to fraction form
    171,632.76/257,270.40 = 57,696/x
  3. Step 3: Cross multiply
    171,632.76x = 257,270.40 × 57,696
  4. Step 4: Simplify right side
    171,632.76x = 14,843,472,998.40
  5. Step 5: Solve for x
    x = 14,843,472,998.40/171,632.76
  6. Step 6: Final answer
    x = 86,483.91

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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.