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Finding the Fourth Proportional to 109,893.10, 164,839.65 and 72,495.40

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Solution

The fourth proportional to 109,893.10, 164,839.65 and 72,495.40 is: 108,743.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,893.10 : 164,839.65 = 72,495.40 : x
  2. Step 2: Convert to fraction form
    109,893.10/164,839.65 = 72,495.40/x
  3. Step 3: Cross multiply
    109,893.10x = 164,839.65 × 72,495.40
  4. Step 4: Simplify right side
    109,893.10x = 11,950,116,362.61
  5. Step 5: Solve for x
    x = 11,950,116,362.61/109,893.10
  6. Step 6: Final answer
    x = 108,743.10

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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.