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Finding the Fourth Proportional to 109,765.60, 164,648.40 and 108,599.20

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Solution

The fourth proportional to 109,765.60, 164,648.40 and 108,599.20 is: 162,898.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,765.60 : 164,648.40 = 108,599.20 : x
  2. Step 2: Convert to fraction form
    109,765.60/164,648.40 = 108,599.20/x
  3. Step 3: Cross multiply
    109,765.60x = 164,648.40 × 108,599.20
  4. Step 4: Simplify right side
    109,765.60x = 17,880,684,521.28
  5. Step 5: Solve for x
    x = 17,880,684,521.28/109,765.60
  6. Step 6: Final answer
    x = 162,898.80

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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.