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Finding the Fourth Proportional to 109,766.10, 164,649.15 and 65,442.90

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Solution

The fourth proportional to 109,766.10, 164,649.15 and 65,442.90 is: 98,164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,766.10 : 164,649.15 = 65,442.90 : x
  2. Step 2: Convert to fraction form
    109,766.10/164,649.15 = 65,442.90/x
  3. Step 3: Cross multiply
    109,766.10x = 164,649.15 × 65,442.90
  4. Step 4: Simplify right side
    109,766.10x = 10,775,117,858.54
  5. Step 5: Solve for x
    x = 10,775,117,858.54/109,766.10
  6. Step 6: Final answer
    x = 98,164.35

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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.