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Finding the Fourth Proportional to 65,735.36, 98,616 and 18,988.64

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Solution

The fourth proportional to 65,735.36, 98,616 and 18,988.64 is: 28,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,735.36 : 98,616 = 18,988.64 : x
  2. Step 2: Convert to fraction form
    65,735.36/98,616 = 18,988.64/x
  3. Step 3: Cross multiply
    65,735.36x = 98,616 × 18,988.64
  4. Step 4: Simplify right side
    65,735.36x = 1,872,583,722.24
  5. Step 5: Solve for x
    x = 1,872,583,722.24/65,735.36
  6. Step 6: Final answer
    x = 28,486.70

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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.