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Finding the Fourth Proportional to 108,009.62, 147,974.02 and 103,970.06

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Solution

The fourth proportional to 108,009.62, 147,974.02 and 103,970.06 is: 142,439.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,009.62 : 147,974.02 = 103,970.06 : x
  2. Step 2: Convert to fraction form
    108,009.62/147,974.02 = 103,970.06/x
  3. Step 3: Cross multiply
    108,009.62x = 147,974.02 × 103,970.06
  4. Step 4: Simplify right side
    108,009.62x = 15,384,867,737.84
  5. Step 5: Solve for x
    x = 15,384,867,737.84/108,009.62
  6. Step 6: Final answer
    x = 142,439.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.