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Finding the Fourth Proportional to 65,871.84, 98,736.90 and 28,449.51

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Solution

The fourth proportional to 65,871.84, 98,736.90 and 28,449.51 is: 42,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,871.84 : 98,736.90 = 28,449.51 : x
  2. Step 2: Convert to fraction form
    65,871.84/98,736.90 = 28,449.51/x
  3. Step 3: Cross multiply
    65,871.84x = 98,736.90 × 28,449.51
  4. Step 4: Simplify right side
    65,871.84x = 2,809,016,423.92
  5. Step 5: Solve for x
    x = 2,809,016,423.92/65,871.84
  6. Step 6: Final answer
    x = 42,643.66

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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.