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Finding the Fourth Proportional to 65,783.65, 98,676.38 and 21,410.64

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Solution

The fourth proportional to 65,783.65, 98,676.38 and 21,410.64 is: 32,116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,783.65 : 98,676.38 = 21,410.64 : x
  2. Step 2: Convert to fraction form
    65,783.65/98,676.38 = 21,410.64/x
  3. Step 3: Cross multiply
    65,783.65x = 98,676.38 × 21,410.64
  4. Step 4: Simplify right side
    65,783.65x = 2,112,724,448.68
  5. Step 5: Solve for x
    x = 2,112,724,448.68/65,783.65
  6. Step 6: Final answer
    x = 32,116.25

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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.