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Finding the Fourth Proportional to 109,745.60, 164,618.40 and 65,422.40

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Solution

The fourth proportional to 109,745.60, 164,618.40 and 65,422.40 is: 98,133.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,745.60 : 164,618.40 = 65,422.40 : x
  2. Step 2: Convert to fraction form
    109,745.60/164,618.40 = 65,422.40/x
  3. Step 3: Cross multiply
    109,745.60x = 164,618.40 × 65,422.40
  4. Step 4: Simplify right side
    109,745.60x = 10,769,730,812.16
  5. Step 5: Solve for x
    x = 10,769,730,812.16/109,745.60
  6. Step 6: Final answer
    x = 98,133.60

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1.5x scale

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.