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Finding the Fourth Proportional to 275,111.63, 412,657.72 and 75,428.81

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Solution

The fourth proportional to 275,111.63, 412,657.72 and 75,428.81 is: 113,140.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,111.63 : 412,657.72 = 75,428.81 : x
  2. Step 2: Convert to fraction form
    275,111.63/412,657.72 = 75,428.81/x
  3. Step 3: Cross multiply
    275,111.63x = 412,657.72 × 75,428.81
  4. Step 4: Simplify right side
    275,111.63x = 31,126,280,756.91
  5. Step 5: Solve for x
    x = 31,126,280,756.91/275,111.63
  6. Step 6: Final answer
    x = 113,140.55

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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.