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Finding the Fourth Proportional to 171,578.70, 257,087.16 and 165,017.70

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Solution

The fourth proportional to 171,578.70, 257,087.16 and 165,017.70 is: 247,256.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,578.70 : 257,087.16 = 165,017.70 : x
  2. Step 2: Convert to fraction form
    171,578.70/257,087.16 = 165,017.70/x
  3. Step 3: Cross multiply
    171,578.70x = 257,087.16 × 165,017.70
  4. Step 4: Simplify right side
    171,578.70x = 42,423,931,842.73
  5. Step 5: Solve for x
    x = 42,423,931,842.73/171,578.70
  6. Step 6: Final answer
    x = 247,256.40

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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.