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Finding the Fourth Proportional to 109,892.10, 164,838.15 and 72,494.40

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Solution

The fourth proportional to 109,892.10, 164,838.15 and 72,494.40 is: 108,741.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,892.10 : 164,838.15 = 72,494.40 : x
  2. Step 2: Convert to fraction form
    109,892.10/164,838.15 = 72,494.40/x
  3. Step 3: Cross multiply
    109,892.10x = 164,838.15 × 72,494.40
  4. Step 4: Simplify right side
    109,892.10x = 11,949,842,781.36
  5. Step 5: Solve for x
    x = 11,949,842,781.36/109,892.10
  6. Step 6: Final answer
    x = 108,741.60

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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.