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Finding the Fourth Proportional to 274,938.72, 412,407.72 and 75,260.76

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Solution

The fourth proportional to 274,938.72, 412,407.72 and 75,260.76 is: 112,891.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,938.72 : 412,407.72 = 75,260.76 : x
  2. Step 2: Convert to fraction form
    274,938.72/412,407.72 = 75,260.76/x
  3. Step 3: Cross multiply
    274,938.72x = 412,407.72 × 75,260.76
  4. Step 4: Simplify right side
    274,938.72x = 31,038,118,437.07
  5. Step 5: Solve for x
    x = 31,038,118,437.07/274,938.72
  6. Step 6: Final answer
    x = 112,891.04

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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.