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Finding the Fourth Proportional to 109,438.40, 164,157.60 and 108,747.20

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Solution

The fourth proportional to 109,438.40, 164,157.60 and 108,747.20 is: 163,120.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,438.40 : 164,157.60 = 108,747.20 : x
  2. Step 2: Convert to fraction form
    109,438.40/164,157.60 = 108,747.20/x
  3. Step 3: Cross multiply
    109,438.40x = 164,157.60 × 108,747.20
  4. Step 4: Simplify right side
    109,438.40x = 17,851,679,358.72
  5. Step 5: Solve for x
    x = 17,851,679,358.72/109,438.40
  6. Step 6: Final answer
    x = 163,120.80

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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.