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Finding the Fourth Proportional to 74,192.88, 102,386 and 40,202.28

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Solution

The fourth proportional to 74,192.88, 102,386 and 40,202.28 is: 55,479.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,192.88 : 102,386 = 40,202.28 : x
  2. Step 2: Convert to fraction form
    74,192.88/102,386 = 40,202.28/x
  3. Step 3: Cross multiply
    74,192.88x = 102,386 × 40,202.28
  4. Step 4: Simplify right side
    74,192.88x = 4,116,150,640.08
  5. Step 5: Solve for x
    x = 4,116,150,640.08/74,192.88
  6. Step 6: Final answer
    x = 55,479.05

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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.