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Finding the Fourth Proportional to 109,384.70, 164,077.05 and 104,719.10

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Solution

The fourth proportional to 109,384.70, 164,077.05 and 104,719.10 is: 157,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,384.70 : 164,077.05 = 104,719.10 : x
  2. Step 2: Convert to fraction form
    109,384.70/164,077.05 = 104,719.10/x
  3. Step 3: Cross multiply
    109,384.70x = 164,077.05 × 104,719.10
  4. Step 4: Simplify right side
    109,384.70x = 17,182,001,006.66
  5. Step 5: Solve for x
    x = 17,182,001,006.66/109,384.70
  6. Step 6: Final answer
    x = 157,078.65

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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.