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Finding the Fourth Proportional to 171,347.40, 257,021.10 and 159,683.40

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Solution

The fourth proportional to 171,347.40, 257,021.10 and 159,683.40 is: 239,525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,347.40 : 257,021.10 = 159,683.40 : x
  2. Step 2: Convert to fraction form
    171,347.40/257,021.10 = 159,683.40/x
  3. Step 3: Cross multiply
    171,347.40x = 257,021.10 × 159,683.40
  4. Step 4: Simplify right side
    171,347.40x = 41,042,003,119.74
  5. Step 5: Solve for x
    x = 41,042,003,119.74/171,347.40
  6. Step 6: Final answer
    x = 239,525.10

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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.