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Finding the Fourth Proportional to 171,564.48, 257,315.40 and 71,697.96

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Solution

The fourth proportional to 171,564.48, 257,315.40 and 71,697.96 is: 107,533.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,564.48 : 257,315.40 = 71,697.96 : x
  2. Step 2: Convert to fraction form
    171,564.48/257,315.40 = 71,697.96/x
  3. Step 3: Cross multiply
    171,564.48x = 257,315.40 × 71,697.96
  4. Step 4: Simplify right side
    171,564.48x = 18,448,989,256.58
  5. Step 5: Solve for x
    x = 18,448,989,256.58/171,564.48
  6. Step 6: Final answer
    x = 107,533.85

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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.