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Finding the Fourth Proportional to 109,701.60, 164,422.80 and 81,967.20

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Solution

The fourth proportional to 109,701.60, 164,422.80 and 81,967.20 is: 122,853.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,701.60 : 164,422.80 = 81,967.20 : x
  2. Step 2: Convert to fraction form
    109,701.60/164,422.80 = 81,967.20/x
  3. Step 3: Cross multiply
    109,701.60x = 164,422.80 × 81,967.20
  4. Step 4: Simplify right side
    109,701.60x = 13,477,276,532.16
  5. Step 5: Solve for x
    x = 13,477,276,532.16/109,701.60
  6. Step 6: Final answer
    x = 122,853.97

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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.