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Finding the Fourth Proportional to 171,042.80, 256,871.40 and 165,513.20

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Solution

The fourth proportional to 171,042.80, 256,871.40 and 165,513.20 is: 248,567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,042.80 : 256,871.40 = 165,513.20 : x
  2. Step 2: Convert to fraction form
    171,042.80/256,871.40 = 165,513.20/x
  3. Step 3: Cross multiply
    171,042.80x = 256,871.40 × 165,513.20
  4. Step 4: Simplify right side
    171,042.80x = 42,515,607,402.48
  5. Step 5: Solve for x
    x = 42,515,607,402.48/171,042.80
  6. Step 6: Final answer
    x = 248,567.07

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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.