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Finding the Fourth Proportional to 103,538.70, 155,308.05 and 91,072.80

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Solution

The fourth proportional to 103,538.70, 155,308.05 and 91,072.80 is: 136,609.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,538.70 : 155,308.05 = 91,072.80 : x
  2. Step 2: Convert to fraction form
    103,538.70/155,308.05 = 91,072.80/x
  3. Step 3: Cross multiply
    103,538.70x = 155,308.05 × 91,072.80
  4. Step 4: Simplify right side
    103,538.70x = 14,144,338,976.04
  5. Step 5: Solve for x
    x = 14,144,338,976.04/103,538.70
  6. Step 6: Final answer
    x = 136,609.20

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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.