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Finding the Fourth Proportional to 171,711.40, 257,567.10 and 71,838.40

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Solution

The fourth proportional to 171,711.40, 257,567.10 and 71,838.40 is: 107,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,711.40 : 257,567.10 = 71,838.40 : x
  2. Step 2: Convert to fraction form
    171,711.40/257,567.10 = 71,838.40/x
  3. Step 3: Cross multiply
    171,711.40x = 257,567.10 × 71,838.40
  4. Step 4: Simplify right side
    171,711.40x = 18,503,208,356.64
  5. Step 5: Solve for x
    x = 18,503,208,356.64/171,711.40
  6. Step 6: Final answer
    x = 107,757.60

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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.