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Finding the Fourth Proportional to 65,409.60, 98,114.40 and 43,102.20

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Solution

The fourth proportional to 65,409.60, 98,114.40 and 43,102.20 is: 64,653.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,409.60 : 98,114.40 = 43,102.20 : x
  2. Step 2: Convert to fraction form
    65,409.60/98,114.40 = 43,102.20/x
  3. Step 3: Cross multiply
    65,409.60x = 98,114.40 × 43,102.20
  4. Step 4: Simplify right side
    65,409.60x = 4,228,946,491.68
  5. Step 5: Solve for x
    x = 4,228,946,491.68/65,409.60
  6. Step 6: Final answer
    x = 64,653.30

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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.