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Finding the Fourth Proportional to 111,929.70, 167,894.55 and 105,363.30

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Solution

The fourth proportional to 111,929.70, 167,894.55 and 105,363.30 is: 158,044.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,929.70 : 167,894.55 = 105,363.30 : x
  2. Step 2: Convert to fraction form
    111,929.70/167,894.55 = 105,363.30/x
  3. Step 3: Cross multiply
    111,929.70x = 167,894.55 × 105,363.30
  4. Step 4: Simplify right side
    111,929.70x = 17,689,923,840.02
  5. Step 5: Solve for x
    x = 17,689,923,840.02/111,929.70
  6. Step 6: Final answer
    x = 158,044.95

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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.