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Finding the Fourth Proportional to 136,478.82, 204,718.23 and 53,314.50

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Solution

The fourth proportional to 136,478.82, 204,718.23 and 53,314.50 is: 79,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,478.82 : 204,718.23 = 53,314.50 : x
  2. Step 2: Convert to fraction form
    136,478.82/204,718.23 = 53,314.50/x
  3. Step 3: Cross multiply
    136,478.82x = 204,718.23 × 53,314.50
  4. Step 4: Simplify right side
    136,478.82x = 10,914,450,073.34
  5. Step 5: Solve for x
    x = 10,914,450,073.34/136,478.82
  6. Step 6: Final answer
    x = 79,971.75

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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.