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Finding the Fourth Proportional to 171,421.65, 257,298.66 and 82,737.45

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Solution

The fourth proportional to 171,421.65, 257,298.66 and 82,737.45 is: 124,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,421.65 : 257,298.66 = 82,737.45 : x
  2. Step 2: Convert to fraction form
    171,421.65/257,298.66 = 82,737.45/x
  3. Step 3: Cross multiply
    171,421.65x = 257,298.66 × 82,737.45
  4. Step 4: Simplify right side
    171,421.65x = 21,288,235,016.82
  5. Step 5: Solve for x
    x = 21,288,235,016.82/171,421.65
  6. Step 6: Final answer
    x = 124,186.38

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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.