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Finding the Fourth Proportional to 109,296, 163,833.21 and 53,088.75

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Solution

The fourth proportional to 109,296, 163,833.21 and 53,088.75 is: 79,579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,296 : 163,833.21 = 53,088.75 : x
  2. Step 2: Convert to fraction form
    109,296/163,833.21 = 53,088.75/x
  3. Step 3: Cross multiply
    109,296x = 163,833.21 × 53,088.75
  4. Step 4: Simplify right side
    109,296x = 8,697,700,327.39
  5. Step 5: Solve for x
    x = 8,697,700,327.39/109,296
  6. Step 6: Final answer
    x = 79,579.31

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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.