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Finding the Fourth Proportional to 74,614.16, 102,936.12 and 49,419.92

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Solution

The fourth proportional to 74,614.16, 102,936.12 and 49,419.92 is: 68,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,614.16 : 102,936.12 = 49,419.92 : x
  2. Step 2: Convert to fraction form
    74,614.16/102,936.12 = 49,419.92/x
  3. Step 3: Cross multiply
    74,614.16x = 102,936.12 × 49,419.92
  4. Step 4: Simplify right side
    74,614.16x = 5,087,094,815.51
  5. Step 5: Solve for x
    x = 5,087,094,815.51/74,614.16
  6. Step 6: Final answer
    x = 68,178.68

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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.