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Finding the Fourth Proportional to 109,890, 164,843.64 and 47,561.04

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Solution

The fourth proportional to 109,890, 164,843.64 and 47,561.04 is: 71,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,890 : 164,843.64 = 47,561.04 : x
  2. Step 2: Convert to fraction form
    109,890/164,843.64 = 47,561.04/x
  3. Step 3: Cross multiply
    109,890x = 164,843.64 × 47,561.04
  4. Step 4: Simplify right side
    109,890x = 7,840,134,955.79
  5. Step 5: Solve for x
    x = 7,840,134,955.79/109,890
  6. Step 6: Final answer
    x = 71,345.30

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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.