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Finding the Fourth Proportional to 68,409.20, 102,613.80 and 61,410.80

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Solution

The fourth proportional to 68,409.20, 102,613.80 and 61,410.80 is: 92,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,409.20 : 102,613.80 = 61,410.80 : x
  2. Step 2: Convert to fraction form
    68,409.20/102,613.80 = 61,410.80/x
  3. Step 3: Cross multiply
    68,409.20x = 102,613.80 × 61,410.80
  4. Step 4: Simplify right side
    68,409.20x = 6,301,595,549.04
  5. Step 5: Solve for x
    x = 6,301,595,549.04/68,409.20
  6. Step 6: Final answer
    x = 92,116.20

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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.