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Finding the Fourth Proportional to 171,405.80, 257,108.70 and 121,542.20

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Solution

The fourth proportional to 171,405.80, 257,108.70 and 121,542.20 is: 182,313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,405.80 : 257,108.70 = 121,542.20 : x
  2. Step 2: Convert to fraction form
    171,405.80/257,108.70 = 121,542.20/x
  3. Step 3: Cross multiply
    171,405.80x = 257,108.70 × 121,542.20
  4. Step 4: Simplify right side
    171,405.80x = 31,249,557,037.14
  5. Step 5: Solve for x
    x = 31,249,557,037.14/171,405.80
  6. Step 6: Final answer
    x = 182,313.30

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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.