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Finding the Fourth Proportional to 100,041.29, 150,006.54 and 40,918.48

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Solution

The fourth proportional to 100,041.29, 150,006.54 and 40,918.48 is: 61,355.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,041.29 : 150,006.54 = 40,918.48 : x
  2. Step 2: Convert to fraction form
    100,041.29/150,006.54 = 40,918.48/x
  3. Step 3: Cross multiply
    100,041.29x = 150,006.54 × 40,918.48
  4. Step 4: Simplify right side
    100,041.29x = 6,138,039,606.86
  5. Step 5: Solve for x
    x = 6,138,039,606.86/100,041.29
  6. Step 6: Final answer
    x = 61,355.06

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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.