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Finding the Fourth Proportional to 109,392, 164,088 and 35,520

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Solution

The fourth proportional to 109,392, 164,088 and 35,520 is: 53,280

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,392 : 164,088 = 35,520 : x
  2. Step 2: Convert to fraction form
    109,392/164,088 = 35,520/x
  3. Step 3: Cross multiply
    109,392x = 164,088 × 35,520
  4. Step 4: Simplify right side
    109,392x = 5,828,405,760
  5. Step 5: Solve for x
    x = 5,828,405,760/109,392
  6. Step 6: Final answer
    x = 53,280

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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.