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Finding the Fourth Proportional to 230,530.50, 318,141.81 and 129,928.50

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Solution

The fourth proportional to 230,530.50, 318,141.81 and 129,928.50 is: 179,306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,530.50 : 318,141.81 = 129,928.50 : x
  2. Step 2: Convert to fraction form
    230,530.50/318,141.81 = 129,928.50/x
  3. Step 3: Cross multiply
    230,530.50x = 318,141.81 × 129,928.50
  4. Step 4: Simplify right side
    230,530.50x = 41,335,688,160.59
  5. Step 5: Solve for x
    x = 41,335,688,160.59/230,530.50
  6. Step 6: Final answer
    x = 179,306.81

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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.