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Finding the Fourth Proportional to 171,308.16, 256,960.81 and 133,899.70

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Solution

The fourth proportional to 171,308.16, 256,960.81 and 133,899.70 is: 200,848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,308.16 : 256,960.81 = 133,899.70 : x
  2. Step 2: Convert to fraction form
    171,308.16/256,960.81 = 133,899.70/x
  3. Step 3: Cross multiply
    171,308.16x = 256,960.81 × 133,899.70
  4. Step 4: Simplify right side
    171,308.16x = 34,406,975,370.76
  5. Step 5: Solve for x
    x = 34,406,975,370.76/171,308.16
  6. Step 6: Final answer
    x = 200,848.43

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1.5x scale

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.