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Finding the Fourth Proportional to 109,617.10, 164,425.65 and 87,309.70

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Solution

The fourth proportional to 109,617.10, 164,425.65 and 87,309.70 is: 130,964.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,617.10 : 164,425.65 = 87,309.70 : x
  2. Step 2: Convert to fraction form
    109,617.10/164,425.65 = 87,309.70/x
  3. Step 3: Cross multiply
    109,617.10x = 164,425.65 × 87,309.70
  4. Step 4: Simplify right side
    109,617.10x = 14,355,954,173.81
  5. Step 5: Solve for x
    x = 14,355,954,173.81/109,617.10
  6. Step 6: Final answer
    x = 130,964.55

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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.