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Finding the Fourth Proportional to 100,043.30, 150,009.54 and 40,920.48

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Solution

The fourth proportional to 100,043.30, 150,009.54 and 40,920.48 is: 61,358.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,043.30 : 150,009.54 = 40,920.48 : x
  2. Step 2: Convert to fraction form
    100,043.30/150,009.54 = 40,920.48/x
  3. Step 3: Cross multiply
    100,043.30x = 150,009.54 × 40,920.48
  4. Step 4: Simplify right side
    100,043.30x = 6,138,462,381.38
  5. Step 5: Solve for x
    x = 6,138,462,381.38/100,043.30
  6. Step 6: Final answer
    x = 61,358.06

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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.