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Finding the Fourth Proportional to 171,197.47, 256,721.81 and 81,265.95

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Solution

The fourth proportional to 171,197.47, 256,721.81 and 81,265.95 is: 121,863.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,197.47 : 256,721.81 = 81,265.95 : x
  2. Step 2: Convert to fraction form
    171,197.47/256,721.81 = 81,265.95/x
  3. Step 3: Cross multiply
    171,197.47x = 256,721.81 × 81,265.95
  4. Step 4: Simplify right side
    171,197.47x = 20,862,742,424.82
  5. Step 5: Solve for x
    x = 20,862,742,424.82/171,197.47
  6. Step 6: Final answer
    x = 121,863.62

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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.