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Finding the Fourth Proportional to 65,643.20, 98,407.20 and 39,358.40

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Solution

The fourth proportional to 65,643.20, 98,407.20 and 39,358.40 is: 59,003.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,643.20 : 98,407.20 = 39,358.40 : x
  2. Step 2: Convert to fraction form
    65,643.20/98,407.20 = 39,358.40/x
  3. Step 3: Cross multiply
    65,643.20x = 98,407.20 × 39,358.40
  4. Step 4: Simplify right side
    65,643.20x = 3,873,149,940.48
  5. Step 5: Solve for x
    x = 3,873,149,940.48/65,643.20
  6. Step 6: Final answer
    x = 59,003.06

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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.