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Finding the Fourth Proportional to 171,390.42, 257,109.56 and 71,527.74

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Solution

The fourth proportional to 171,390.42, 257,109.56 and 71,527.74 is: 107,301.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,390.42 : 257,109.56 = 71,527.74 : x
  2. Step 2: Convert to fraction form
    171,390.42/257,109.56 = 71,527.74/x
  3. Step 3: Cross multiply
    171,390.42x = 257,109.56 × 71,527.74
  4. Step 4: Simplify right side
    171,390.42x = 18,390,465,759.19
  5. Step 5: Solve for x
    x = 18,390,465,759.19/171,390.42
  6. Step 6: Final answer
    x = 107,301.60

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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.