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Finding the Fourth Proportional to 171,352.64, 257,090.45 and 76,574.88

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Solution

The fourth proportional to 171,352.64, 257,090.45 and 76,574.88 is: 114,889.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,352.64 : 257,090.45 = 76,574.88 : x
  2. Step 2: Convert to fraction form
    171,352.64/257,090.45 = 76,574.88/x
  3. Step 3: Cross multiply
    171,352.64x = 257,090.45 × 76,574.88
  4. Step 4: Simplify right side
    171,352.64x = 19,686,669,975.02
  5. Step 5: Solve for x
    x = 19,686,669,975.02/171,352.64
  6. Step 6: Final answer
    x = 114,889.80

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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.