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Finding the Fourth Proportional to 171,402.80, 257,005.76 and 91,342.20

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Solution

The fourth proportional to 171,402.80, 257,005.76 and 91,342.20 is: 136,960.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,402.80 : 257,005.76 = 91,342.20 : x
  2. Step 2: Convert to fraction form
    171,402.80/257,005.76 = 91,342.20/x
  3. Step 3: Cross multiply
    171,402.80x = 257,005.76 × 91,342.20
  4. Step 4: Simplify right side
    171,402.80x = 23,475,471,106.28
  5. Step 5: Solve for x
    x = 23,475,471,106.28/171,402.80
  6. Step 6: Final answer
    x = 136,960.84

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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.