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Finding the Fourth Proportional to 116,321.78, 160,505.17 and 72,709.17

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Solution

The fourth proportional to 116,321.78, 160,505.17 and 72,709.17 is: 100,326.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,321.78 : 160,505.17 = 72,709.17 : x
  2. Step 2: Convert to fraction form
    116,321.78/160,505.17 = 72,709.17/x
  3. Step 3: Cross multiply
    116,321.78x = 160,505.17 × 72,709.17
  4. Step 4: Simplify right side
    116,321.78x = 11,670,197,691.41
  5. Step 5: Solve for x
    x = 11,670,197,691.41/116,321.78
  6. Step 6: Final answer
    x = 100,326.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.