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Finding the Fourth Proportional to 109,085.20, 163,498.20 and 45,905.20

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Solution

The fourth proportional to 109,085.20, 163,498.20 and 45,905.20 is: 68,803.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,085.20 : 163,498.20 = 45,905.20 : x
  2. Step 2: Convert to fraction form
    109,085.20/163,498.20 = 45,905.20/x
  3. Step 3: Cross multiply
    109,085.20x = 163,498.20 × 45,905.20
  4. Step 4: Simplify right side
    109,085.20x = 7,505,417,570.64
  5. Step 5: Solve for x
    x = 7,505,417,570.64/109,085.20
  6. Step 6: Final answer
    x = 68,803.26

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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.