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Finding the Fourth Proportional to 135,047.54, 186,364.51 and 74,617.94

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Solution

The fourth proportional to 135,047.54, 186,364.51 and 74,617.94 is: 102,972.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,047.54 : 186,364.51 = 74,617.94 : x
  2. Step 2: Convert to fraction form
    135,047.54/186,364.51 = 74,617.94/x
  3. Step 3: Cross multiply
    135,047.54x = 186,364.51 × 74,617.94
  4. Step 4: Simplify right side
    135,047.54x = 13,906,134,706.94
  5. Step 5: Solve for x
    x = 13,906,134,706.94/135,047.54
  6. Step 6: Final answer
    x = 102,972.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.