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Finding the Fourth Proportional to 208,535.04, 312,736.50 and 75,397.68

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Solution

The fourth proportional to 208,535.04, 312,736.50 and 75,397.68 is: 113,072.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,535.04 : 312,736.50 = 75,397.68 : x
  2. Step 2: Convert to fraction form
    208,535.04/312,736.50 = 75,397.68/x
  3. Step 3: Cross multiply
    208,535.04x = 312,736.50 × 75,397.68
  4. Step 4: Simplify right side
    208,535.04x = 23,579,606,551.32
  5. Step 5: Solve for x
    x = 23,579,606,551.32/208,535.04
  6. Step 6: Final answer
    x = 113,072.64

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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.