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Finding the Fourth Proportional to 171,513, 257,223.03 and 71,652.30

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Solution

The fourth proportional to 171,513, 257,223.03 and 71,652.30 is: 107,459.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,513 : 257,223.03 = 71,652.30 : x
  2. Step 2: Convert to fraction form
    171,513/257,223.03 = 71,652.30/x
  3. Step 3: Cross multiply
    171,513x = 257,223.03 × 71,652.30
  4. Step 4: Simplify right side
    171,513x = 18,430,621,712.47
  5. Step 5: Solve for x
    x = 18,430,621,712.47/171,513
  6. Step 6: Final answer
    x = 107,459.04

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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.