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Finding the Fourth Proportional to 74,005.56, 102,138.84 and 47,160

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Solution

The fourth proportional to 74,005.56, 102,138.84 and 47,160 is: 65,087.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,005.56 : 102,138.84 = 47,160 : x
  2. Step 2: Convert to fraction form
    74,005.56/102,138.84 = 47,160/x
  3. Step 3: Cross multiply
    74,005.56x = 102,138.84 × 47,160
  4. Step 4: Simplify right side
    74,005.56x = 4,816,867,694.40
  5. Step 5: Solve for x
    x = 4,816,867,694.40/74,005.56
  6. Step 6: Final answer
    x = 65,087.92

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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.