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Finding the Fourth Proportional to 109,106.56, 163,619.52 and 85,778.56

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Solution

The fourth proportional to 109,106.56, 163,619.52 and 85,778.56 is: 128,636.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,106.56 : 163,619.52 = 85,778.56 : x
  2. Step 2: Convert to fraction form
    109,106.56/163,619.52 = 85,778.56/x
  3. Step 3: Cross multiply
    109,106.56x = 163,619.52 × 85,778.56
  4. Step 4: Simplify right side
    109,106.56x = 14,035,046,813.49
  5. Step 5: Solve for x
    x = 14,035,046,813.49/109,106.56
  6. Step 6: Final answer
    x = 128,636.14

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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.