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Finding the Fourth Proportional to 85,340.82, 127,971.61 and 49,812.40

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Solution

The fourth proportional to 85,340.82, 127,971.61 and 49,812.40 is: 74,695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,340.82 : 127,971.61 = 49,812.40 : x
  2. Step 2: Convert to fraction form
    85,340.82/127,971.61 = 49,812.40/x
  3. Step 3: Cross multiply
    85,340.82x = 127,971.61 × 49,812.40
  4. Step 4: Simplify right side
    85,340.82x = 6,374,572,581.50
  5. Step 5: Solve for x
    x = 6,374,572,581.50/85,340.82
  6. Step 6: Final answer
    x = 74,695.47

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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.