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Finding the Fourth Proportional to 65,640, 98,412 and 24,087.36

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Solution

The fourth proportional to 65,640, 98,412 and 24,087.36 is: 36,113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,640 : 98,412 = 24,087.36 : x
  2. Step 2: Convert to fraction form
    65,640/98,412 = 24,087.36/x
  3. Step 3: Cross multiply
    65,640x = 98,412 × 24,087.36
  4. Step 4: Simplify right side
    65,640x = 2,370,485,272.32
  5. Step 5: Solve for x
    x = 2,370,485,272.32/65,640
  6. Step 6: Final answer
    x = 36,113.43

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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.