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Finding the Fourth Proportional to 85,340.45, 127,971.05 and 49,812.02

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Solution

The fourth proportional to 85,340.45, 127,971.05 and 49,812.02 is: 74,694.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,340.45 : 127,971.05 = 49,812.02 : x
  2. Step 2: Convert to fraction form
    85,340.45/127,971.05 = 49,812.02/x
  3. Step 3: Cross multiply
    85,340.45x = 127,971.05 × 49,812.02
  4. Step 4: Simplify right side
    85,340.45x = 6,374,496,572.89
  5. Step 5: Solve for x
    x = 6,374,496,572.89/85,340.45
  6. Step 6: Final answer
    x = 74,694.91

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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.