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Finding the Fourth Proportional to 109,385.80, 164,078.70 and 102,004.68

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Solution

The fourth proportional to 109,385.80, 164,078.70 and 102,004.68 is: 153,007.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,385.80 : 164,078.70 = 102,004.68 : x
  2. Step 2: Convert to fraction form
    109,385.80/164,078.70 = 102,004.68/x
  3. Step 3: Cross multiply
    109,385.80x = 164,078.70 × 102,004.68
  4. Step 4: Simplify right side
    109,385.80x = 16,736,795,288.32
  5. Step 5: Solve for x
    x = 16,736,795,288.32/109,385.80
  6. Step 6: Final answer
    x = 153,007.02

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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.