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Finding the Fourth Proportional to 114,072.80, 171,157.80 and 71,985.20

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Solution

The fourth proportional to 114,072.80, 171,157.80 and 71,985.20 is: 108,008.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,072.80 : 171,157.80 = 71,985.20 : x
  2. Step 2: Convert to fraction form
    114,072.80/171,157.80 = 71,985.20/x
  3. Step 3: Cross multiply
    114,072.80x = 171,157.80 × 71,985.20
  4. Step 4: Simplify right side
    114,072.80x = 12,320,828,464.56
  5. Step 5: Solve for x
    x = 12,320,828,464.56/114,072.80
  6. Step 6: Final answer
    x = 108,008.47

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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.