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Finding the Fourth Proportional to 65,774.77, 98,662.16 and 21,406.03

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Solution

The fourth proportional to 65,774.77, 98,662.16 and 21,406.03 is: 32,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,774.77 : 98,662.16 = 21,406.03 : x
  2. Step 2: Convert to fraction form
    65,774.77/98,662.16 = 21,406.03/x
  3. Step 3: Cross multiply
    65,774.77x = 98,662.16 × 21,406.03
  4. Step 4: Simplify right side
    65,774.77x = 2,111,965,156.82
  5. Step 5: Solve for x
    x = 2,111,965,156.82/65,774.77
  6. Step 6: Final answer
    x = 32,109.05

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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.