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Finding the Fourth Proportional to 171,130.59, 256,761.63 and 71,264.07

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Solution

The fourth proportional to 171,130.59, 256,761.63 and 71,264.07 is: 106,923.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,130.59 : 256,761.63 = 71,264.07 : x
  2. Step 2: Convert to fraction form
    171,130.59/256,761.63 = 71,264.07/x
  3. Step 3: Cross multiply
    171,130.59x = 256,761.63 × 71,264.07
  4. Step 4: Simplify right side
    171,130.59x = 18,297,878,773.63
  5. Step 5: Solve for x
    x = 18,297,878,773.63/171,130.59
  6. Step 6: Final answer
    x = 106,923.48

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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.