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Finding the Fourth Proportional to 114,760.80, 172,140.30 and 67,980

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Solution

The fourth proportional to 114,760.80, 172,140.30 and 67,980 is: 101,969.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,760.80 : 172,140.30 = 67,980 : x
  2. Step 2: Convert to fraction form
    114,760.80/172,140.30 = 67,980/x
  3. Step 3: Cross multiply
    114,760.80x = 172,140.30 × 67,980
  4. Step 4: Simplify right side
    114,760.80x = 11,702,097,594
  5. Step 5: Solve for x
    x = 11,702,097,594/114,760.80
  6. Step 6: Final answer
    x = 101,969.47

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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.