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Finding the Fourth Proportional to 130,306.80, 179,842.68 and 82,564.59

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Solution

The fourth proportional to 130,306.80, 179,842.68 and 82,564.59 is: 113,951.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,306.80 : 179,842.68 = 82,564.59 : x
  2. Step 2: Convert to fraction form
    130,306.80/179,842.68 = 82,564.59/x
  3. Step 3: Cross multiply
    130,306.80x = 179,842.68 × 82,564.59
  4. Step 4: Simplify right side
    130,306.80x = 14,848,637,138.70
  5. Step 5: Solve for x
    x = 14,848,637,138.70/130,306.80
  6. Step 6: Final answer
    x = 113,951.36

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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.