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Finding the Fourth Proportional to 68,461.60, 102,703.20 and 21,719.20

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Solution

The fourth proportional to 68,461.60, 102,703.20 and 21,719.20 is: 32,582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,461.60 : 102,703.20 = 21,719.20 : x
  2. Step 2: Convert to fraction form
    68,461.60/102,703.20 = 21,719.20/x
  3. Step 3: Cross multiply
    68,461.60x = 102,703.20 × 21,719.20
  4. Step 4: Simplify right side
    68,461.60x = 2,230,631,341.44
  5. Step 5: Solve for x
    x = 2,230,631,341.44/68,461.60
  6. Step 6: Final answer
    x = 32,582.23

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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.