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Finding the Fourth Proportional to 171,638.47, 257,457.75 and 53,309.82

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Solution

The fourth proportional to 171,638.47, 257,457.75 and 53,309.82 is: 79,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,638.47 : 257,457.75 = 53,309.82 : x
  2. Step 2: Convert to fraction form
    171,638.47/257,457.75 = 53,309.82/x
  3. Step 3: Cross multiply
    171,638.47x = 257,457.75 × 53,309.82
  4. Step 4: Simplify right side
    171,638.47x = 13,725,026,310.11
  5. Step 5: Solve for x
    x = 13,725,026,310.11/171,638.47
  6. Step 6: Final answer
    x = 79,964.74

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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.