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Finding the Fourth Proportional to 109,802.40, 164,857.20 and 68,330.40

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Solution

The fourth proportional to 109,802.40, 164,857.20 and 68,330.40 is: 102,591.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,802.40 : 164,857.20 = 68,330.40 : x
  2. Step 2: Convert to fraction form
    109,802.40/164,857.20 = 68,330.40/x
  3. Step 3: Cross multiply
    109,802.40x = 164,857.20 × 68,330.40
  4. Step 4: Simplify right side
    109,802.40x = 11,264,758,418.88
  5. Step 5: Solve for x
    x = 11,264,758,418.88/109,802.40
  6. Step 6: Final answer
    x = 102,591.19

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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.