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Finding the Fourth Proportional to 171,942.66, 257,911.56 and 53,615.16

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Solution

The fourth proportional to 171,942.66, 257,911.56 and 53,615.16 is: 80,421.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,942.66 : 257,911.56 = 53,615.16 : x
  2. Step 2: Convert to fraction form
    171,942.66/257,911.56 = 53,615.16/x
  3. Step 3: Cross multiply
    171,942.66x = 257,911.56 × 53,615.16
  4. Step 4: Simplify right side
    171,942.66x = 13,827,969,555.25
  5. Step 5: Solve for x
    x = 13,827,969,555.25/171,942.66
  6. Step 6: Final answer
    x = 80,421.98

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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.