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Finding the Fourth Proportional to 65,445.30, 98,116.92 and 30,380.40

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Solution

The fourth proportional to 65,445.30, 98,116.92 and 30,380.40 is: 45,546.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,445.30 : 98,116.92 = 30,380.40 : x
  2. Step 2: Convert to fraction form
    65,445.30/98,116.92 = 30,380.40/x
  3. Step 3: Cross multiply
    65,445.30x = 98,116.92 × 30,380.40
  4. Step 4: Simplify right side
    65,445.30x = 2,980,831,276.37
  5. Step 5: Solve for x
    x = 2,980,831,276.37/65,445.30
  6. Step 6: Final answer
    x = 45,546.91

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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.