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Finding the Fourth Proportional to 109,728,916.80, 164,593,375.20 and 99,651,220.80

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Solution

The fourth proportional to 109,728,916.80, 164,593,375.20 and 99,651,220.80 is: 149,476,831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,728,916.80 : 164,593,375.20 = 99,651,220.80 : x
  2. Step 2: Convert to fraction form
    109,728,916.80/164,593,375.20 = 99,651,220.80/x
  3. Step 3: Cross multiply
    109,728,916.80x = 164,593,375.20 × 99,651,220.80
  4. Step 4: Simplify right side
    109,728,916.80x = 16,401,930,774,272,442
  5. Step 5: Solve for x
    x = 16,401,930,774,272,442/109,728,916.80
  6. Step 6: Final answer
    x = 149,476,831.20

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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.