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Finding the Fourth Proportional to 109,869.30, 164,803.95 and 63,213.30

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Solution

The fourth proportional to 109,869.30, 164,803.95 and 63,213.30 is: 94,819.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,869.30 : 164,803.95 = 63,213.30 : x
  2. Step 2: Convert to fraction form
    109,869.30/164,803.95 = 63,213.30/x
  3. Step 3: Cross multiply
    109,869.30x = 164,803.95 × 63,213.30
  4. Step 4: Simplify right side
    109,869.30x = 10,417,801,532.54
  5. Step 5: Solve for x
    x = 10,417,801,532.54/109,869.30
  6. Step 6: Final answer
    x = 94,819.95

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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.