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Finding the Fourth Proportional to 65,445.72, 98,154 and 30,366.24

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Solution

The fourth proportional to 65,445.72, 98,154 and 30,366.24 is: 45,542.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,445.72 : 98,154 = 30,366.24 : x
  2. Step 2: Convert to fraction form
    65,445.72/98,154 = 30,366.24/x
  3. Step 3: Cross multiply
    65,445.72x = 98,154 × 30,366.24
  4. Step 4: Simplify right side
    65,445.72x = 2,980,567,920.96
  5. Step 5: Solve for x
    x = 2,980,567,920.96/65,445.72
  6. Step 6: Final answer
    x = 45,542.60

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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.