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Finding the Fourth Proportional to 171,207.80, 256,811.70 and 166,287.05

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Solution

The fourth proportional to 171,207.80, 256,811.70 and 166,287.05 is: 249,430.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,207.80 : 256,811.70 = 166,287.05 : x
  2. Step 2: Convert to fraction form
    171,207.80/256,811.70 = 166,287.05/x
  3. Step 3: Cross multiply
    171,207.80x = 256,811.70 × 166,287.05
  4. Step 4: Simplify right side
    171,207.80x = 42,704,459,998.49
  5. Step 5: Solve for x
    x = 42,704,459,998.49/171,207.80
  6. Step 6: Final answer
    x = 249,430.58

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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.