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Finding the Fourth Proportional to 118,912.64, 178,398.64 and 83,920.64

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Solution

The fourth proportional to 118,912.64, 178,398.64 and 83,920.64 is: 125,901.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,912.64 : 178,398.64 = 83,920.64 : x
  2. Step 2: Convert to fraction form
    118,912.64/178,398.64 = 83,920.64/x
  3. Step 3: Cross multiply
    118,912.64x = 178,398.64 × 83,920.64
  4. Step 4: Simplify right side
    118,912.64x = 14,971,328,043.93
  5. Step 5: Solve for x
    x = 14,971,328,043.93/118,912.64
  6. Step 6: Final answer
    x = 125,901.91

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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.